Laplacian Distribution

Consider the Laplacian Distribution whose PDF is Given by:

$$f_X(x)=\frac{1}{2}\,e^{-|x|}\,\, {-\infty}<x<{\infty}$$

If Random Variable $Y$ is Defined as

$$Y=|X|+|X-3|$$ ,  Find

$$Pr(Y\geq 3)$$