Let $x$ and $y$ be real numbers satisfying \[(x^2+x-1)(x^2-x+1)=2(y^3-2\sqrt{5}-1)\] and \[(y^2+y-1)(y^2-y+1)=2(x^3+2\sqrt{5}-1)\] Find $8x^2+4y^3$.

Let's think step by step and output the final answer within \boxed{}.
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