document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=182487>Question 182487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 14 = 2/3(9y - 15)  \r<BR>\n" );
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document.write( "Please show me how to solve the problem.  I am a parent trying to help my child with her pre-Algebra.  There is no example in her textbook (Prentice Hall Mathematics Pre-Algebra) FLORIDA.  It has been many years since I was in school and, frankly, I can't figure it out!  I don't know which operation to perform first.\r<BR>\n" );
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document.write( "Thanks.<BR>\n" );
document.write( "Lin Daily </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136961 by </B><A HREF=/tutors/aboutme.mpl?userid=MathGuyJoe><B>MathGuyJoe(20)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathGuyJoe><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=136961\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi Lin,\r<BR>\n" );
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document.write( "When trying to solve an equation, you try to isolate the variable ('y' in this case) by itself.  In this case it'll be a multi-step process.<BR>\n" );
document.write( "14 = 2/3(9y - 15)<BR>\n" );
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document.write( "Given your equation, the first step will be to get rid of the parentheses by multiplying 2/3 by (9y - 15).  To do this, you need to multiply each of the elements in the parentheses by 2/3:\r<BR>\n" );
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document.write( "14 = (2/3 * 9y) - (2/3 * 15)<BR>\n" );
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document.write( "This simplifies to:\r<BR>\n" );
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document.write( "14 = (6y) - (10)<BR>\n" );
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document.write( "No more fractions -- we like to see that.  =)  Next step is to isolate 6y by itself - to do this we'll add 10 to both sides of the equation:\r<BR>\n" );
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document.write( "14 (+ 10) = 6y - 10 (+ 10)<BR>\n" );
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document.write( "This simplifies to:\r<BR>\n" );
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document.write( "24 = 6y<BR>\n" );
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document.write( "Next we divide both sides by 6 (so we're left with just 'y'):\r<BR>\n" );
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document.write( "24 (/ 6) = 6y (/ 6)<BR>\n" );
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document.write( "This simplifies to:\r<BR>\n" );
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document.write( "<b>4 = y (or y = 4)</b><BR>\n" );
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document.write( "So <b>4</b> is our answer.  To double-check it, we can substitute '4' for 'y' back in our original equation:\r<BR>\n" );
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document.write( "14 = (2/3 * 9y) - (2/3 * 15)<BR>\n" );
document.write( "14 = (2/3 * 9<b>(4)</b>) - (2/3 * 15)<BR>\n" );
document.write( "14 = (2/3 * 36) - (2/3 * 15)<BR>\n" );
document.write( "14 = (24) - (10)<BR>\n" );
document.write( "14 = 14<BR>\n" );
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document.write( "Looks good!  Hope this helps. </SPAN>\n" );
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