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2x+2xy=1154
Combine x and x to get 2x.
\left(2+2y\right)x=1154
Combine all terms containing x.
\left(2y+2\right)x=1154
The equation is in standard form.
\frac{\left(2y+2\right)x}{2y+2}=\frac{1154}{2y+2}
Divide both sides by 2+2y.
x=\frac{1154}{2y+2}
Dividing by 2+2y undoes the multiplication by 2+2y.
x=\frac{577}{y+1}
Divide 1154 by 2+2y.
2x+2xy=1154
Combine x and x to get 2x.
2xy=1154-2x
Subtract 2x from both sides.
\frac{2xy}{2x}=\frac{1154-2x}{2x}
Divide both sides by 2x.
y=\frac{1154-2x}{2x}
Dividing by 2x undoes the multiplication by 2x.
y=-1+\frac{577}{x}
Divide 1154-2x by 2x.