Question 690756
{{{3y+1(2y-5)=13-2(y+2)}}} Start with the given equation.



{{{3y+2y-5=13-2y-4}}} Distribute.



{{{5y-5=13-2y-4}}} Combine like terms on the left side.



{{{5y-5=-2y+9}}} Combine like terms on the right side.



{{{5y=-2y+9+5}}} Add {{{5}}} to both sides.



{{{5y+2y=9+5}}} Add {{{2y}}} to both sides.



{{{7y=9+5}}} Combine like terms on the left side.



{{{7y=14}}} Combine like terms on the right side.



{{{y=(14)/(7)}}} Divide both sides by {{{7}}} to isolate {{{y}}}.



{{{y=2}}} Reduce.



----------------------------------------------------------------------


Answer:


So the solution is {{{y=2}}}