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xy=7-x^{2}
Subtract x^{2} from both sides.
\frac{xy}{x}=\frac{7-x^{2}}{x}
Divide both sides by x.
y=\frac{7-x^{2}}{x}
Dividing by x undoes the multiplication by x.
y=-x+\frac{7}{x}
Divide 7-x^{2} by x.