6y 3 2y 5y 3y2 9Solution6 y 3 2y 5y 3y2 9 LHS taking y

6/y + 3 + 2/y = 5y - 3/y^2 - 9

6/ (y +3) +2/y = (5y -3)/(y^2 -9)

LHS taking y(y+3) as lcd: (6*y +2(y+3) )/(y(y+3)

= (8y +6)/(y(y+3)

RHS : (5y -3)/( y+3)(y-3)

(8y +6)/(y(y+3) = (5y -3)/( y+3)(y-3)

cancelling ( y-3) on both sides:

(8y +6)/y = (5y-3)/(y-3)

(8y +6)(y-3) = (5y-3)(y

8y^2 -24y +6y -18 = 5y^2 -3y

3y^2 - 15y -18 =0

y^2 -5y -6 =0

y^2 -6y +y -6 =0

y(y-6) +1 (y-6) =0

(y+1)(y-6) =0

y = -1 ; y = 6 Solution