# Good luck expanding!

Find the absolute value of the sum of all integral $$x$$ and $$y$$ for which the equation

$x^3+(x+1)^3+(x+2)^3+(x+3)^3+\dots+(x+7)^3=y^3$

is satisfied. As an explicit example, if the solutions were $$(3, 7)$$ and $$(9, 9)$$, you would be asked to find $$3+7+9+9$$.

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