Transposing the equation $ y = \frac{x}{1-x} $ to get $x$ I can't solve the following equation for $x$. I got my wires crossed $ y = \frac{x}{1-x} $ Thank you very much for your help

we have $$y=\frac{x}{1-x}$$ ,multiplying by $1-x$ we get $$y-yx=x$$ adding $$yx$$ and we have $$y=x(1+y)$$ dividing by $$1+y\
e 0$$ we obtain $$x=\frac{y}{1+y}$$