Solve for y
\left\{\begin{matrix}y=x+\sqrt{167}\text{, }&x>-\frac{\sqrt{167}}{2}\text{ and }\left(x+\sqrt{167}=\sqrt{4x^{6}-x^{2}+233}-2x^{3}\text{ or }x+\sqrt{167}=-\sqrt{4x^{6}-x^{2}+233}-2x^{3}\right)\text{ and }4x^{6}-x^{2}+233\geq 0\\y=x-\sqrt{167}\text{, }&x>\frac{\sqrt{167}}{2}\text{ and }\left(x-\sqrt{167}=\sqrt{4x^{6}-x^{2}+233}-2x^{3}\text{ or }x-\sqrt{167}=-\sqrt{4x^{6}-x^{2}+233}-2x^{3}\right)\text{ and }4x^{6}-x^{2}+233\geq 0\end{matrix}\right.
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