Find the number of real solutions (x, y) to the system of equations:
\left\{\begin{array}{l} \sin \left(x^{2}-y\right)=0 \\ |x|+|y|=2 \pi \end{array}\right.
Find the number of real solutions (x, y) to the system of equations:
\left\{\begin{array}{l} \sin \left(x^{2}-y\right)=0 \\ |x|+|y|=2 \pi \end{array}\right.