document.write( "Question 848821: how do I solve (2y-9)+(y+4)=5y..what are the steps to solve these types of equations? \n" ); document.write( "
Algebra.Com's Answer #511286 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! how do I solve (2y-9)+(y+4)=5y \n" ); document.write( "There is a positive (+) between the brackets so we can just remove them \n" ); document.write( "2y - 9 + y + 4 = 5y \n" ); document.write( "combine like terms on the left \n" ); document.write( "2y + y - 9 + 4 = 5y \n" ); document.write( "3y - 5 = 5y \n" ); document.write( "We want y on the left and numerical values on the right \n" ); document.write( "Add 5 to both sides \n" ); document.write( "3y = 5y + 5 \n" ); document.write( "Subtract 5y from both sides \n" ); document.write( "3y - 5y = 5 \n" ); document.write( "-2y = 5 \n" ); document.write( "y has to be positive, multiply both sides by -1 to change the signs \n" ); document.write( "2y = -5 \n" ); document.write( "we want y to have a coefficient of 1, divide both sides by 2 \n" ); document.write( "y = -5/2 \n" ); document.write( "y = -2.5 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if that checks out in the original equation, replace y with - 2.5 \n" ); document.write( "2(-2.5) - 9 - 2.5 + 4 = 5(-2.5) \n" ); document.write( "-5 - 9 - 2.5 + 4 = -12.5 \n" ); document.write( "-12.5 = -12.5 confirms our solution of y = -2.5 \n" ); document.write( " |