document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177273>Question 177273</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation:<BR>\n" );
document.write( "1/6(3y-2)=1 -1/3(y-1)\r<BR>\n" );
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document.write( "This is what I have come up with: <BR>\n" );
document.write( "1/2y -1/3 = 1 -1/3+1/3, then I multiplied both sides by GCF of 6 to give me:<BR>\n" );
document.write( "3y -2 = 6 -2y+2, then combine like terms<BR>\n" );
document.write( "3y -2 = 4 -2y,<BR>\n" );
document.write( "5y = 6<BR>\n" );
document.write( "y = 6/5\r<BR>\n" );
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document.write( "When I try and plug in my answer it doesn't check:<BR>\n" );
document.write( "1/6(18/5 -2) = 1 -1/3(6/5 -1), multiply by GCF of 15,<BR>\n" );
document.write( "15(3/5 -1/3) = (1 -6/15 + 1/3)15<BR>\n" );
document.write( "9 -5 = 15 -6 +5 Does not check\r<BR>\n" );
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document.write( "Thank you, <BR>\n" );
document.write( "Betty </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132345 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=132345\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29%283y-2%29=1+-%281%2F3%29%28y-1%29 ALIGN=MIDDLE  ALT=\"%281%2F6%29%283y-2%29=1+-%281%2F3%29%28y-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y-2=6+-2%28y-1%29 ALIGN=MIDDLE  ALT=\"3y-2=6+-2%28y-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply EVERY term (that's not in a set of parenthesis) by the LCD 6 to clear the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y-2=6-2y%2B2 ALIGN=MIDDLE  ALT=\"3y-2=6-2y%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y-2=-2y%2B8 ALIGN=MIDDLE  ALT=\"3y-2=-2y%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y=-2y%2B8%2B2 ALIGN=MIDDLE  ALT=\"3y=-2y%2B8%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2B2y=8%2B2 ALIGN=MIDDLE  ALT=\"3y%2B2y=8%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y ALIGN=MIDDLE  ALT=\"2y\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y=8%2B2 ALIGN=MIDDLE  ALT=\"5y=8%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y=10 ALIGN=MIDDLE  ALT=\"5y=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%2810%29%2F%285%29 ALIGN=MIDDLE  ALT=\"y=%2810%29%2F%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2 ALIGN=MIDDLE  ALT=\"y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2 ALIGN=MIDDLE  ALT=\"y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29%283y-2%29=1+-%281%2F3%29%28y-1%29 ALIGN=MIDDLE  ALT=\"%281%2F6%29%283y-2%29=1+-%281%2F3%29%28y-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29%283%282%29-2%29=1+-%281%2F3%29%282-1%29 ALIGN=MIDDLE  ALT=\"%281%2F6%29%283%282%29-2%29=1+-%281%2F3%29%282-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2 ALIGN=MIDDLE  ALT=\"y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29%286-2%29=1+-%281%2F3%29%282-1%29 ALIGN=MIDDLE  ALT=\"%281%2F6%29%286-2%29=1+-%281%2F3%29%282-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29%284%29=1+-%281%2F3%29%281%29 ALIGN=MIDDLE  ALT=\"%281%2F6%29%284%29=1+-%281%2F3%29%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F6=1+-1%2F3 ALIGN=MIDDLE  ALT=\"4%2F6=1+-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3=1+-1%2F3 ALIGN=MIDDLE  ALT=\"2%2F3=1+-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms. So this verifies our answer. </SPAN>\n" );
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