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-25y=10789-17x^{2}
Subtract 17x^{2} from both sides.
\frac{-25y}{-25}=\frac{10789-17x^{2}}{-25}
Divide both sides by -25.
y=\frac{10789-17x^{2}}{-25}
Dividing by -25 undoes the multiplication by -25.
y=\frac{17x^{2}-10789}{25}
Divide 10789-17x^{2} by -25.