Как упростить данное выражение?

Скобку приводим к общему знаменателю

y^2 - 3y - 4 = (y+1)(y-4)

[3(y+1) + (4y-6) + 2y(y-4)]/[(y+1)(y-4)]*y/(2y-3) = (3y+3+4y-6+2y^2-8y)/[(y+1)(y-4)]*y/(2y-3) = (2y^2-y-3)/[(y+1)(y-4)]*y/(2y-3) =

= [(y+1)(2y-3)]/[(y+1)(y-4)]*y/(2y-3) = (2y-3)/(y-4)*y/(2y-3) = y/(y-4)