We have \(\displaystyle x,y\in\mathbb N_0\) and

\[\displaystyle x-y=x^2+xy+y^2\]

The solutions are \(\displaystyle (x_1,y_1),(x_2,y_2),\ldots,(x_n,y_n)\).

Find \(\displaystyle \sum_{i=1}^n(x_i+y_i)\).

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