[tex] (\frac{4y}{2-y} - y) : \frac{y+2}{y-2} [/tex]

Упростите выражение, пожалуйста.

(4y/(2-y) -y):(y+2)/(y-2)=((4y-2y+yˇ2)/(2-y)). ((y-2)/(y+2))==(2y+yˇ2)/(2-y)  .  (y-2)/(y+2)=y(y+2)/(2-y)  .  (y-2)/(y+2)==y/(2-y) . (y-2)= -y

(4у/(2-у) - у(2-у)/2-у)*(у-2)/у+2) = ((4у-2у+у²)/(2-у))*((у-2)(у+2)) = ((2у+у²)/(2-у)) * ((у-2)(у+2)) = ((у(2+у)/(2-у)) * ((у-2)(у+2)) = у/(2-у) * (у-2) = -у/(у-2) * (у-2) = -у