document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=178831>Question 178831</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3y+3<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "6y+12\r<BR>\n" );
document.write( "\n" );
document.write( "divided by\r<BR>\n" );
document.write( "\n" );
document.write( "18<BR>\n" );
document.write( "----<BR>\n" );
document.write( "5y+5\r<BR>\n" );
document.write( "\n" );
document.write( "i need to simplify this and list any restrictions. please help!\r<BR>\n" );
document.write( "\n" );
document.write( "thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #133793 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=133793\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283y%2B3%29%2F%286y%2B12%29%29%28%2818%29%2F%285y%2B5%29%29 ALIGN=MIDDLE  ALT=\"%28%283y%2B3%29%2F%286y%2B12%29%29%28%2818%29%2F%285y%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%28y%2B1%29%29%2F%286y%2B12%29%29%28%2818%29%2F%285y%2B5%29%29 ALIGN=MIDDLE  ALT=\"%28%283%28y%2B1%29%29%2F%286y%2B12%29%29%28%2818%29%2F%285y%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2B3 ALIGN=MIDDLE  ALT=\"3y%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28y%2B1%29 ALIGN=MIDDLE  ALT=\"3%28y%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%28y%2B1%29%29%2F%286%28y%2B2%29%29%29%28%2818%29%2F%285y%2B5%29%29 ALIGN=MIDDLE  ALT=\"%28%283%28y%2B1%29%29%2F%286%28y%2B2%29%29%29%28%2818%29%2F%285y%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6y%2B12 ALIGN=MIDDLE  ALT=\"6y%2B12\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%28y%2B2%29 ALIGN=MIDDLE  ALT=\"6%28y%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%28y%2B1%29%29%2F%286%28y%2B2%29%29%29%28%2818%29%2F%285%28y%2B1%29%29%29 ALIGN=MIDDLE  ALT=\"%28%283%28y%2B1%29%29%2F%286%28y%2B2%29%29%29%28%2818%29%2F%285%28y%2B1%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%2B5 ALIGN=MIDDLE  ALT=\"5y%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28y%2B1%29 ALIGN=MIDDLE  ALT=\"5%28y%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2A18%28y%2B1%29%29%2F%286%2A5%28y%2B2%29%28y%2B1%29%29 ALIGN=MIDDLE  ALT=\"%283%2A18%28y%2B1%29%29%2F%286%2A5%28y%2B2%29%28y%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2854%28y%2B1%29%29%2F%2830%28y%2B2%29%28y%2B1%29%29 ALIGN=MIDDLE  ALT=\"%2854%28y%2B1%29%29%2F%2830%28y%2B2%29%28y%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2854%2Ahighlight%28%28y%2B1%29%29%29%2F%2830%28y%2B2%29highlight%28%28y%2B1%29%29%29 ALIGN=MIDDLE  ALT=\"%2854%2Ahighlight%28%28y%2B1%29%29%29%2F%2830%28y%2B2%29highlight%28%28y%2B1%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight the common terms. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2854%2Across%28%28y%2B1%29%29%29%2F%2830%28y%2B2%29cross%28%28y%2B1%29%29%29 ALIGN=MIDDLE  ALT=\"%2854%2Across%28%28y%2B1%29%29%29%2F%2830%28y%2B2%29cross%28%28y%2B1%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54%2F%2830%28y%2B2%29%29 ALIGN=MIDDLE  ALT=\"54%2F%2830%28y%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54%2F%2830y%2B60%29 ALIGN=MIDDLE  ALT=\"54%2F%2830y%2B60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283y%2B3%29%2F%286y%2B12%29%29%28%2818%29%2F%285y%2B5%29%29 ALIGN=MIDDLE  ALT=\"%28%283y%2B3%29%2F%286y%2B12%29%29%28%2818%29%2F%285y%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54%2F%2830y%2B60%29 ALIGN=MIDDLE  ALT=\"54%2F%2830y%2B60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283y%2B3%29%2F%286y%2B12%29%29%28%2818%29%2F%285y%2B5%29%29=54%2F%2830y%2B60%29 ALIGN=MIDDLE  ALT=\"%28%283y%2B3%29%2F%286y%2B12%29%29%28%2818%29%2F%285y%2B5%29%29=54%2F%2830y%2B60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C%3E-2 ALIGN=MIDDLE  ALT=\"y%3C%3E-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C%3E-1 ALIGN=MIDDLE  ALT=\"y%3C%3E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > (these are the restrictions; we must take these values out of the domain since they cause a division by zero)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );