Solve y=1-p/1+p

$$y = \frac { 1 - p } { 1 + p }$$

Solve for p

$$p=-\frac{y-1}{y+1}$$

$$y\neq -1$$

Steps for Solving Linear Equation

Variable p cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by p+1.

$$y\left(p+1\right)=1-p$$

Use the distributive property to multiply y by p+1.

$$yp+y=1-p$$

Add p to both sides.

$$yp+y+p=1$$

Subtract y from both sides.

$$yp+p=1-y$$

Combine all terms containing p.

$$\left(y+1\right)p=1-y$$

Divide both sides by y+1.

$$\frac{\left(y+1\right)p}{y+1}=\frac{1-y}{y+1}$$

Dividing by y+1 undoes the multiplication by y+1.

$$p=\frac{1-y}{y+1}$$

Variable p cannot be equal to -1.

$$p=\frac{1-y}{y+1}\text{, }p\neq -1$$

Solve for y

$$y=-\frac{p-1}{p+1}$$

$$p\neq -1$$