Solve for n
n=-\frac{y}{y-1}
y\neq 1
Solve for y
y=\frac{n}{n+1}
n\neq -1
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y\left(n+1\right)=n
Variable n cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by n+1.
yn+y=n
Use the distributive property to multiply y by n+1.
yn+y-n=0
Subtract n from both sides.
yn-n=-y
Subtract y from both sides. Anything subtracted from zero gives its negation.
\left(y-1\right)n=-y
Combine all terms containing n.
\frac{\left(y-1\right)n}{y-1}=-\frac{y}{y-1}
Divide both sides by y-1.
n=-\frac{y}{y-1}
Dividing by y-1 undoes the multiplication by y-1.
n=-\frac{y}{y-1}\text{, }n\neq -1
Variable n cannot be equal to -1.
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Limits
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