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y\left(x+1\right)=-1
Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by x+1.
yx+y=-1
Use the distributive property to multiply y by x+1.
yx=-1-y
Subtract y from both sides.
yx=-y-1
The equation is in standard form.
\frac{yx}{y}=\frac{-y-1}{y}
Divide both sides by y.
x=\frac{-y-1}{y}
Dividing by y undoes the multiplication by y.
x=-1-\frac{1}{y}
Divide -1-y by y.
x=-1-\frac{1}{y}\text{, }x\neq -1
Variable x cannot be equal to -1.