Solve y-1/c=y+1/d

$$\frac { y - 1 } { c } = \frac { y + 1 } { d }$$

Solve for c (complex solution)

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

$$y\neq 1\text{ and }d\neq 0\text{ and }y\neq -1$$

Steps for Solving Linear Equation

Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by cd, the least common multiple of c,d.

$$d\left(y-1\right)=c\left(y+1\right)$$

Use the distributive property to multiply d by y-1.

$$dy-d=c\left(y+1\right)$$

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

$$dy-d=cy+c$$

Swap sides so that all variable terms are on the left hand side.

$$cy+c=dy-d$$

Combine all terms containing c.

$$\left(y+1\right)c=dy-d$$

Divide both sides by y+1.

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

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

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

Variable c cannot be equal to 0.

$$c=\frac{d\left(y-1\right)}{y+1}\text{, }c\neq 0$$

Solve for d (complex solution)

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

$$y\neq -1\text{ and }c\neq 0\text{ and }y\neq 1$$

Steps for Solving Linear Equation

Variable d cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by cd, the least common multiple of c,d.

$$d\left(y-1\right)=c\left(y+1\right)$$

Use the distributive property to multiply d by y-1.

$$dy-d=c\left(y+1\right)$$

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

$$dy-d=cy+c$$

Combine all terms containing d.

$$\left(y-1\right)d=cy+c$$

Divide both sides by y-1.

$$\frac{\left(y-1\right)d}{y-1}=\frac{cy+c}{y-1}$$

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

$$d=\frac{cy+c}{y-1}$$

Divide cy+c by y-1.

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

Variable d cannot be equal to 0.

$$d=\frac{c\left(y+1\right)}{y-1}\text{, }d\neq 0$$

Solve for c

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

$$d\neq 0\text{ and }|y|\neq 1$$

Steps for Solving Linear Equation

Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by cd, the least common multiple of c,d.

$$d\left(y-1\right)=c\left(y+1\right)$$

Use the distributive property to multiply d by y-1.

$$dy-d=c\left(y+1\right)$$

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

$$dy-d=cy+c$$

Swap sides so that all variable terms are on the left hand side.

$$cy+c=dy-d$$

Combine all terms containing c.

$$\left(y+1\right)c=dy-d$$

Divide both sides by y+1.

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

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

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

Variable c cannot be equal to 0.

$$c=\frac{d\left(y-1\right)}{y+1}\text{, }c\neq 0$$

Solve for d

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

$$c\neq 0\text{ and }|y|\neq 1$$

Steps for Solving Linear Equation

Variable d cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by cd, the least common multiple of c,d.

$$d\left(y-1\right)=c\left(y+1\right)$$

Use the distributive property to multiply d by y-1.

$$dy-d=c\left(y+1\right)$$

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

$$dy-d=cy+c$$

Combine all terms containing d.

$$\left(y-1\right)d=cy+c$$

Divide both sides by y-1.

$$\frac{\left(y-1\right)d}{y-1}=\frac{cy+c}{y-1}$$

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

$$d=\frac{cy+c}{y-1}$$

Divide cy+c by y-1.

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

Variable d cannot be equal to 0.

$$d=\frac{c\left(y+1\right)}{y-1}\text{, }d\neq 0$$