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Solve for x
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Solve for y
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1xy=y+2
Add 2 to both sides.
xy=y+2
Reorder the terms.
yx=y+2
The equation is in standard form.
\frac{yx}{y}=\frac{y+2}{y}
Divide both sides by y.
x=\frac{y+2}{y}
Dividing by y undoes the multiplication by y.
1xy-2-y=0
Subtract y from both sides.
1xy-y=2
Add 2 to both sides. Anything plus zero gives itself.
xy-y=2
Reorder the terms.
\left(x-1\right)y=2
Combine all terms containing y.
\frac{\left(x-1\right)y}{x-1}=\frac{2}{x-1}
Divide both sides by x-1.
y=\frac{2}{x-1}
Dividing by x-1 undoes the multiplication by x-1.