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-19y=x^{2}
Swap sides so that all variable terms are on the left hand side.
\frac{-19y}{-19}=\frac{x^{2}}{-19}
Divide both sides by -19.
y=\frac{x^{2}}{-19}
Dividing by -19 undoes the multiplication by -19.
y=-\frac{x^{2}}{19}
Divide x^{2} by -19.