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-6y=x^{2}
Swap sides so that all variable terms are on the left hand side.
\frac{-6y}{-6}=\frac{x^{2}}{-6}
Divide both sides by -6.
y=\frac{x^{2}}{-6}
Dividing by -6 undoes the multiplication by -6.
y=-\frac{x^{2}}{6}
Divide x^{2} by -6.