# To solve equations

Algebra Level 3

$\begin{cases}(\frac{x}{y})^{5}+5(\frac{x}{y}) =y^{5}+5y \\ x^{2016} +y^{4032} =2 \end{cases}$

There are two solutions $$(x_1, y_1)$$ and $$(x_2, y_2)$$ to the equations above. What is $$x_1 + x_2 + y_1 + y_2?$$

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