Solve for x
x=-\frac{y+e^{y}-2}{4y}
y\neq 0
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4xy+e^{y}=2-y
Subtract y from both sides.
4xy=2-y-e^{y}
Subtract e^{y} from both sides.
4xy=-y-e^{y}+2
Reorder the terms.
4yx=2-e^{y}-y
The equation is in standard form.
\frac{4yx}{4y}=\frac{2-e^{y}-y}{4y}
Divide both sides by 4y.
x=\frac{2-e^{y}-y}{4y}
Dividing by 4y undoes the multiplication by 4y.
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