Quick question here, I seem to forgot how to derive the solution to the Verhulst/logistic equation of

dy/dt=ry(1-y/K)

Basically, I get

y/(1-y/K)=Ce^(rt) where C=y0/[1-(y0/K)]

and I just keep on forgetting how to isolate y in this instance. I know the general form of the solution,

y= (y0K)/[y0+(K-y0)e^(-rt)], but I just can't seem to simplify the above equation into this one