Упростите выражение (36-y²)/(y-8) * (y/(y-6) - 2y/(y²-12y+36)) + 12y/(y-6).

\(\frac{(6-y)(6+y)}{y-8}\) \(\cdot\) \(\left\)(\(\frac{y}{y-6}\) - \(\frac{2y}{(y-6)^2}\)\(\right\)) + \(\frac{12y}{y-6}\) = \(\frac{(6-y)(6+y)}{y-8}\) \(\cdot\) \(\frac{y(y-6)-2y}{(y-6)^2}\) + \(\frac{12y}{y-6}\) = \(\frac{(6-y)(6+y)}{y-8}\) \(\cdot\) \(\frac{y^2-6y-2y}{(y-6)^2}\) + \(\frac{12y}{y-6}\) = \(\frac{(6-y)(6+y)}{y-8}\) \(\cdot\) \(\frac{y(y-8)}{(y-6)^2}\) + \(\frac{12y}{y-6}\) = \(\frac{(6-y)(6+y)y}{(y-6)^2}\) + \(\frac{12y}{y-6}\) = \(\frac{-(y-6)(6+y)y}{(y-6)^2}\) + \(\frac{12y}{y-6}\) = \(\frac{-y(6+y)}{y-6}\) + \(\frac{12y}{y-6}\) = \(\frac{-6y-y^2+12y}{y-6}\) = \(\frac{-y^2+6y}{y-6}\) = \(\frac{-y(y-6)}{y-6}\) = -y.