Solve for x
x=\frac{12}{y+1}
y\neq -1
Solve for y
y=-1+\frac{12}{x}
x\neq 0
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\left(y+1\right)x=12
Combine all terms containing x.
\frac{\left(y+1\right)x}{y+1}=\frac{12}{y+1}
Divide both sides by y+1.
x=\frac{12}{y+1}
Dividing by y+1 undoes the multiplication by y+1.
yx=12-x
Subtract x from both sides.
xy=12-x
The equation is in standard form.
\frac{xy}{x}=\frac{12-x}{x}
Divide both sides by x.
y=\frac{12-x}{x}
Dividing by x undoes the multiplication by x.
y=-1+\frac{12}{x}
Divide 12-x by x.
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