document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=423331>Question 423331</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi please help me with this problem of true or false .  I'm a little rusty and need to see the steps thank you very much.  \r<BR>\n" );
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document.write( "4 over (y+5) minus 8 over (y-5) = 8 over y^2 minus 25 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #295286 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=295286\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you either want to make all the denominators the same or you want to remove the denominator from the equation.\r<BR>\n" );
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document.write( "i find that, in this case, removing the denominator entirely is the way to go.\r<BR>\n" );
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document.write( "note that y^2 - 25 is equal to (y-5) * (y+5)\r<BR>\n" );
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document.write( "if you multiply both sides of this equation by (y-5) * (y+5), then you will get:\r<BR>\n" );
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document.write( "4 * (y-5) - 8 * (y+5) = 8\r<BR>\n" );
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document.write( "remove parentheses to get:\r<BR>\n" );
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document.write( "4*y - 20 - 8*y - 40 = 8\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "-4*y - 60 = 8\r<BR>\n" );
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document.write( "add 4*y to both sides of the equation and subtract 8 from both sides of the equation to get:\r<BR>\n" );
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document.write( "-60 - 8 = 4*y\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "-68 = 4*y\r<BR>\n" );
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document.write( "solve for y to get:\r<BR>\n" );
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document.write( "y = -17\r<BR>\n" );
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document.write( "plug the value of y into your original equation to confirm this answer is good.\r<BR>\n" );
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document.write( "your original equation is:\r<BR>\n" );
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document.write( "4/(y+5) - 8/(y-5) = 8/y^2-25)\r<BR>\n" );
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document.write( "substitute -17 for y to get:\r<BR>\n" );
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document.write( "4/(-17+5) - 8/(-17-5) = 8/((-17)^2 - 25))\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "4/(-12) - 8/(-22) = 8/(264)\r<BR>\n" );
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document.write( "multiply both sides of this equation by 264 to get:\r<BR>\n" );
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document.write( "4*(-22) - 8*(-12) = 8\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "-88 + 96 = 8\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "8 = 8 confirming the value of y = -17 is good.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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