How to find roots for $y = ||x^2-x-20|-8|$

Question

$$ y = ||x^2-x-20|-8| $$

After I set $y = 0$, I do not know how to deal with multiple absolute values.

Answer 1

$$|x^2-x-20|-8=0$$ $$\iff |x^2-x-20|=8$$ $$\iff x^2-x-20=\pm 8$$ $$\iff x^2-x-20-8=0\ \text{or}\ x^2-x-20+8=0$$

Answer 2

$$y = ||x^2-x-20|-8|$$

Setting $y=0$ we have the following:

$$||x^2-x-20|-8|=0 \Rightarrow |x^2-x-20|-8=0 \Rightarrow |x^2-x-20|=8 \Rightarrow x^2-x-20=\pm 8 $$