Solve 3*(2x-2)*3(y+1)/2=10

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

Solve for x

$$x=\frac{9y+19}{9\left(y+1\right)}$$

$$y\neq -1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

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

Multiply 3 and 3 to get 9.

$$9\left(2x-2\right)\left(y+1\right)=20$$

Use the distributive property to multiply 9 by 2x-2.

$$\left(18x-18\right)\left(y+1\right)=20$$

Use the distributive property to multiply 18x-18 by y+1.

$$18xy+18x-18y-18=20$$

Add 18y to both sides.

$$18xy+18x-18=20+18y$$

Add 18 to both sides.

$$18xy+18x=20+18y+18$$

Add 20 and 18 to get 38.

$$18xy+18x=38+18y$$

Combine all terms containing x.

$$\left(18y+18\right)x=38+18y$$

The equation is in standard form.

$$\left(18y+18\right)x=18y+38$$

Divide both sides by 18y+18.

$$\frac{\left(18y+18\right)x}{18y+18}=\frac{18y+38}{18y+18}$$

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

$$x=\frac{18y+38}{18y+18}$$

Divide 38+18y by 18y+18.

$$x=\frac{9y+19}{9\left(y+1\right)}$$

Solve for y

$$y=-\frac{9x-19}{9\left(x-1\right)}$$

$$x\neq 1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

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

Multiply 3 and 3 to get 9.

$$9\left(2x-2\right)\left(y+1\right)=20$$

Use the distributive property to multiply 9 by 2x-2.

$$\left(18x-18\right)\left(y+1\right)=20$$

Use the distributive property to multiply 18x-18 by y+1.

$$18xy+18x-18y-18=20$$

Subtract 18x from both sides.

$$18xy-18y-18=20-18x$$

Add 18 to both sides.

$$18xy-18y=20-18x+18$$

Add 20 and 18 to get 38.

$$18xy-18y=38-18x$$

Combine all terms containing y.

$$\left(18x-18\right)y=38-18x$$

Divide both sides by 18x-18.

$$\frac{\left(18x-18\right)y}{18x-18}=\frac{38-18x}{18x-18}$$

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

$$y=\frac{38-18x}{18x-18}$$

Divide 38-18x by 18x-18.

$$y=\frac{19-9x}{9\left(x-1\right)}$$