# How do you solve  (y-1)/(y-2)=-y/(y+1)?

We multiply both sides with $\left(y - 2\right) \cdot \left(y + 1\right)$ hence we get
(y-1)/(y-2)=-y/(y+1)=>(y+1)*(y-1)=-(y-2)*y=>y^2-1=-y^2+2y=> 2y^2+2y-1=0=>y_1=-1/2-sqrt3/2 or y_2=-1/2+sqrt3/2