document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=558843>Question 558843</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how the equation 5(-1+5y)/(-4)-7y = 8 arrive at this one 3y = -27? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #363233 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=363233\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your problem is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%285%2A%28-1%2B5y%29%29%2F%28-4%29%29-7y+=+8 ALIGN=MIDDLE  ALT=\"%28%285%2A%28-1%2B5y%29%29%2F%28-4%29%29-7y+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and it likely has an error with one of the signs because solving this problem does not lead to 3y = -27.<BR>\n" );
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document.write( "Here's my work:<BR>\n" );
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document.write( "You can eliminate the denominator on the left side by multiplying both sides of this equation (all terms) by -4. <BR>\n" );
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document.write( "When you do that multiplication the problem becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-4%29%2A5%2A%28-1%2B5y%29%29%2F%28%28-4%29%29-7y%2A%28-4%29+=+8%2A%28-4%29 ALIGN=MIDDLE  ALT=\"%28%28-4%29%2A5%2A%28-1%2B5y%29%29%2F%28%28-4%29%29-7y%2A%28-4%29+=+8%2A%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "On the left side, cancel the denominator with the common factor in the numerator as shown:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28cross%28-4%29%29%2A5%2A%28-1%2B5y%29%29%2F%28cross%28%28-4%29%29%29-7y%2A%28-4%29+=+8%2A%28-4%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and you are left with:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A%28-1%2B5y%29-7y%2A%28-4%29=+8%2A%28-4%29 ALIGN=MIDDLE  ALT=\"5%2A%28-1%2B5y%29-7y%2A%28-4%29=+8%2A%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "On the left side, do the distributed multiplication by multiplying the constant 5 times each of the terms in the parentheses to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5+%2B+25y+-7y%2A%28-4%29=+8%2A%28-4%29 ALIGN=MIDDLE  ALT=\"-5+%2B+25y+-7y%2A%28-4%29=+8%2A%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "On the left side multiply the -7y times the -4 to get +28y and on the right side multiply the 8 times the -4 to get -32. This results in the equation becoming:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5+%2B+25y+%2B28y=+-32 ALIGN=MIDDLE  ALT=\"-5+%2B+25y+%2B28y=+-32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "get rid of the -5 on the left side by adding +5 to both sides as follows:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2B5+-+5+%2B+25y+=+%2B5+-+32+ ALIGN=MIDDLE  ALT=\"%2B5+-+5+%2B+25y+=+%2B5+-+32+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "On the left side the +5 and -5 cancel out and on the right side the +5 and the -32 combine to give -27. As a result you are left with:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25y+%2B+28y+=+-32 ALIGN=MIDDLE  ALT=\"25y+%2B+28y+=+-32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Combine the two terms on the left side and you get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=53y+=+-32 ALIGN=MIDDLE  ALT=\"53y+=+-32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This obviously is not the answer you were looking forward. I expect that your problem has a sign error because if you had arrived at:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-25y+%2B+28y+=+-32 ALIGN=MIDDLE  ALT=\"-25y+%2B+28y+=+-32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "the result would be:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y+=+-32 ALIGN=MIDDLE  ALT=\"3y+=+-32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and that would be what you were expecting.<BR>\n" );
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document.write( "Maybe your original problem should have had a negative sign in the factor:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2B5y%29 ALIGN=MIDDLE  ALT=\"%28-1%2B5y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "so that it was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1+-5y ALIGN=MIDDLE  ALT=\"-1+-5y\"   DISABLED_style= \"max-width:90%; height:auto;\" >instead.<BR>\n" );
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document.write( "I hope this helps you to find where the error is. If it doesn't please post the problem again and maybe another tutor can find what is wrong here.<BR>\n" );
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