Differential Equations · Superchallenge problem

For $\dfrac{dy}{dt}=y^3-3y^2+2y$, find the unique stable equilibrium $y^*$, and let $k$ be the constant such that nearby solutions approach it like $Ce^{kt}$ (that is, $k=f'(y^*)$ for $f(y)=y^3-3y^2+2y$). Find $y^*-k$.