document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=109196>Question 109196</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help solving this equation:<BR>\n" );
document.write( " 5 over y - 3 = y + 7 over 2y - 6 plus 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #79691 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=79691\">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=5%2F%28y-3%29=%28y%2B7%29%2F%282y-6%29+%2B1 ALIGN=MIDDLE  ALT=\"5%2F%28y-3%29=%28y%2B7%29%2F%282y-6%29+%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "5(2y-6)=(y+7)(y-3)+(y-3)(2y-6) multiply each side by (y-3)(2y-6) to eliminate fractions.<BR>\n" );
document.write( "10y-30=y^2+4y-21+2y^2-12y+18<BR>\n" );
document.write( "10y-30=3y^2-8y-3<BR>\n" );
document.write( "3y^2-18y-27=0<BR>\n" );
document.write( "3(y^2-6y-9)=0<BR>\n" );
document.write( "(y-3)(y-3)=0<BR>\n" );
document.write( "y=3<BR>\n" );
document.write( "Since y=3 causes division by zero in the original equation there is no answer.<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );