Question 1208694
{{{(y+3)(y-4)(y+6)(2/(y+3)+3/(y-4))=(y+3)(y-4)(y+6)(5/(y+6))}}}, multiplying left and right sides by common denominator


{{{2(y-4)(y+6)+3(y+3)(y+6)=5(y+3)(y-4)}}}


{{{2(y^2+2y-24)+3(y^2+9y+18)=5(y^2-y-12)}}}


{{{2y^2+4y-48+3y^2+27y+54=5y^2-5y-60}}}


{{{5y^2+31y+6=5y^2-5y-60}}}


{{{31y+6=-5y-60}}}


{{{36y=-66}}}


{{{6*6y=-1*6*11}}}


{{{6y=-11}}}


{{{y=-11/6}}}