Crazy solve

Suppose the integral solutions of the equation : $$x^{3}+10x-1=y^{3}+6y^{2}$$ are

$$(x_{1},y_{1}),\ldots,(x_{n},y_{n})$$.

Find the value of $$(x_{1}+y_{1})+\ldots+(x_{n}+y_{n})$$.

×