How to solve an ODE with an absolute value?

Question

I am a bit confused about how to solve an ODE of this type

$y'= \mid x \mid - \mid y \mid $ , $y(0)=0$

Do I need to divide the ODE into four phases :

1. $x>0$ & $y>0$

2. $x>0$ & $y<0$

3. $x<0$ & $y>0$

4. $x<0$ & $y<0$

or is there another approach?