document.write( "Question 225144: Find all values of y satisfying the equation.\r
\n" ); document.write( "\n" ); document.write( "-_7___ _3__
\n" ); document.write( " y + 1 = -4 - y-4\r
\n" ); document.write( "\n" ); document.write( "Both have minuses before the fractions and the last one has a -4 before it as well. Help.\r
\n" ); document.write( "\n" ); document.write( "(If there is more than one solution, separate them with commas.) \n" ); document.write( "
Algebra.Com's Answer #168236 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
-_7___ _3__
\n" ); document.write( " y + 1 = -4 - y-4
\n" ); document.write( "Assume it's
\n" ); document.write( "\"-7%2F%28y%2B1%29\" = -4 - \"3%2F%28y-4%29\"
\n" ); document.write( "Multiply by (y+1)(y-4)*
\n" ); document.write( "(y+1)(y-4)*\"-7%2F%28y%2B1%29\" = -4(y+1)(y-4) - (y+1)(y-4)*\"3%2F%28y-4%29\"
\n" ); document.write( ":
\n" ); document.write( "cancel the denominators and you have
\n" ); document.write( "-7(y-4) = -4(y+1)(y-4) - 3(y+1)
\n" ); document.write( ":
\n" ); document.write( "-7y + 28 = -4(y^2 - 4y + y - 4) - 3y - 3
\n" ); document.write( ":
\n" ); document.write( "-7y + 28 = -4(y^2 - 3y - 4) - 3y - 3
\n" ); document.write( ":
\n" ); document.write( "-7y + 28 = -4y^2 + 12y + 16 - 3y - 3
\n" ); document.write( ":
\n" ); document.write( "-7y + 28 = -4y^2 + 9y + 13
\n" ); document.write( ":
\n" ); document.write( "4y^2 - 7y - 9y + 28 - 13 = 0
\n" ); document.write( ":
\n" ); document.write( "4y^2 - 16y + 15 = 0
\n" ); document.write( "Factor this to
\n" ); document.write( "(2x - 5)(2x - 3) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "2x = 5
\n" ); document.write( "x = 2.5
\n" ); document.write( "and
\n" ); document.write( "2x = 3
\n" ); document.write( "x = 1.5
\n" ); document.write( ":
\n" ); document.write( "x = 2.5, 1.5
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution using x=2.5
\n" ); document.write( "\"-7%2F%282.5%2B1%29\" = -4 - \"3%2F%282.5-4%29\"
\n" ); document.write( "\"-7%2F%283.5%29\" = -4 - \"3%2F%28-1.5%29\"
\n" ); document.write( "-2 = -4 + 2
\n" ); document.write( ":
\n" ); document.write( "you can check it using the x=1.5 solution \n" ); document.write( "
\n" );