Solve 3left(2x-2right)/23left(y+1right)/2=-10

$$\frac{ 3 \left( 2x-2 \right) }{ 2 } \frac{ 3 \left( y+1 \right) }{ 2 } = -10$$

Solve for x

$$x=-\frac{11-9y}{9\left(y+1\right)}$$

$$y\neq -1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$3\left(2x-2\right)\times \frac{3\left(y+1\right)}{2}=-20$$

Use the distributive property to multiply 3 by 2x-2.

$$\left(6x-6\right)\times \frac{3\left(y+1\right)}{2}=-20$$

Use the distributive property to multiply 3 by y+1.

$$\left(6x-6\right)\times \frac{3y+3}{2}=-20$$

Express \left(6x-6\right)\times \frac{3y+3}{2} as a single fraction.

$$\frac{\left(6x-6\right)\left(3y+3\right)}{2}=-20$$

Use the distributive property to multiply 6x-6 by 3y+3.

$$\frac{18xy+18x-18y-18}{2}=-20$$

Multiply both sides by 2.

$$18xy+18x-18y-18=-20\times 2$$

Multiply -20 and 2 to get -40.

$$18xy+18x-18y-18=-40$$

Add 18y to both sides.

$$18xy+18x-18=-40+18y$$

Add 18 to both sides.

$$18xy+18x=-40+18y+18$$

Add -40 and 18 to get -22.

$$18xy+18x=-22+18y$$

Combine all terms containing x.

$$\left(18y+18\right)x=-22+18y$$

The equation is in standard form.

$$\left(18y+18\right)x=18y-22$$

Divide both sides by 18y+18.

$$\frac{\left(18y+18\right)x}{18y+18}=\frac{18y-22}{18y+18}$$

Dividing by 18y+18 undoes the multiplication by 18y+18.

$$x=\frac{18y-22}{18y+18}$$

Divide -22+18y by 18y+18.

$$x=\frac{9y-11}{9\left(y+1\right)}$$

Solve for y

$$y=-\frac{9x+11}{9\left(x-1\right)}$$

$$x\neq 1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$3\left(2x-2\right)\times \frac{3\left(y+1\right)}{2}=-20$$

Use the distributive property to multiply 3 by 2x-2.

$$\left(6x-6\right)\times \frac{3\left(y+1\right)}{2}=-20$$

Use the distributive property to multiply 3 by y+1.

$$\left(6x-6\right)\times \frac{3y+3}{2}=-20$$

Express \left(6x-6\right)\times \frac{3y+3}{2} as a single fraction.

$$\frac{\left(6x-6\right)\left(3y+3\right)}{2}=-20$$

Use the distributive property to multiply 6x-6 by 3y+3.

$$\frac{18xy+18x-18y-18}{2}=-20$$

Multiply both sides by 2.

$$18xy+18x-18y-18=-20\times 2$$

Multiply -20 and 2 to get -40.

$$18xy+18x-18y-18=-40$$

Subtract 18x from both sides.

$$18xy-18y-18=-40-18x$$

Add 18 to both sides.

$$18xy-18y=-40-18x+18$$

Add -40 and 18 to get -22.

$$18xy-18y=-22-18x$$

Combine all terms containing y.

$$\left(18x-18\right)y=-22-18x$$

The equation is in standard form.

$$\left(18x-18\right)y=-18x-22$$

Divide both sides by 18x-18.

$$\frac{\left(18x-18\right)y}{18x-18}=\frac{-18x-22}{18x-18}$$

Dividing by 18x-18 undoes the multiplication by 18x-18.

$$y=\frac{-18x-22}{18x-18}$$

Divide -22-18x by 18x-18.

$$y=-\frac{9x+11}{9\left(x-1\right)}$$