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-xy-7=-e^{y}
Subtract e^{y} from both sides. Anything subtracted from zero gives its negation.
-xy=-e^{y}+7
Add 7 to both sides.
\left(-y\right)x=7-e^{y}
The equation is in standard form.
\frac{\left(-y\right)x}{-y}=\frac{7-e^{y}}{-y}
Divide both sides by -y.
x=\frac{7-e^{y}}{-y}
Dividing by -y undoes the multiplication by -y.
x=\frac{e^{y}-7}{y}
Divide -e^{y}+7 by -y.