System of equations?

Algebra Level 4

{y+4=(x2)2x+4=(y2)2 \large{ \begin{cases} y+4 = (x-2)^2 \\ x+ 4 = (y-2)^2 \end{cases} }

Let xx and yy be distinct numbers satisfying the system of equations above.

What is the value of x2+y2x^2 + y^2?

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