Extended soft-thresholding problem

Question

I know the solution to the following problem : \begin{equation} f(x) = \dfrac{1}{2} (y-x)^{2} + \lambda|x| \end{equation} is the soft thresholding function. I would like th know the solution of the following extended problem:
\begin{equation} f(x) = \dfrac{1}{2} (y-x)^{2} + \lambda_{1}|x| +\lambda_{2}|x| \end{equation}