document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184110>Question 184110</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please walk me step by step on how to solve the following equation.  I am really stumped by this problem, or I am missing a step somewhere.\r<BR>\n" );
document.write( "\n" );
document.write( "3/4 + 2y < y - 2/3\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you so much for any help.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138122 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=138122\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In the first place, you don't have an equation, you have an inequality.  Equations have equal signs, and inequalities have inequality signs.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "That being said, you solve inequalities the same way you solve equations -- with one important exception.  That is to say that you can add the same thing to both sides, multiply both sides by the same thing, and/or take a root of both sides.  The only exception to the process is when multiplying an inequality by a negative number.  If you do this, then you must reverse the sense of the inequality (greater than becomes less than, for example).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So for your problem:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math \frac{3}{4} + 2y < y - \frac{2}{3}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Add <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large -\frac{3}{4}\"> to both sides:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math 2y < y - \frac{2}{3} -\frac{3}{4} = y - \frac{8}{12} -\frac{9}{12} = y - \frac{17}{12}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Then add <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large -y\"> to both sides:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math 2y - y < - \frac{17}{12} \ \ \Rightarrow\ \ y < - \frac{17}{12}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );