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-8x=y^{2}
Swap sides so that all variable terms are on the left hand side.
\frac{-8x}{-8}=\frac{y^{2}}{-8}
Divide both sides by -8.
x=\frac{y^{2}}{-8}
Dividing by -8 undoes the multiplication by -8.
x=-\frac{y^{2}}{8}
Divide y^{2} by -8.