Find the asymptotes of the following curves \[ x^{3}+2 x^{2} y-4 x y^{2}-8 y^{3}-4 x+8 y=1 \]

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Find the asymptotes of the following curves
\[
x^{3}+2 x^{2} y-4 x y^{2}-8 y^{3}-4 x+8 y=1
\]
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