How do I remove $y$ from $xy$ in $y=xy-2x$?

Question

I got an inverse function $y=xy-2x$. But how do I remove $y$ from $xy$?

Answer 1

You can write $$y-xy=-2x$$ and $$y(1-x)=-2x$$ so $$y=\frac{-2x}{1-x}$$ for $x\ne 1$