Solve x-6=2(y+6)

$$x - 6 = 2 ( y + 6 )$$

Solve for x

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

Solution Steps

Use the distributive property to multiply 2 by y+6.

$$x-6=2y+12$$

Add 6 to both sides.

$$x=2y+12+6$$

Add 12 and 6 to get 18.

$$x=2y+18$$

Solve for y

$$y=\frac{x-18}{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by y+6.

$$x-6=2y+12$$

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

$$2y+12=x-6$$

Subtract 12 from both sides.

$$2y=x-6-12$$

Subtract 12 from -6 to get -18.

$$2y=x-18$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{x-18}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{x-18}{2}$$

Divide x-18 by 2.

$$y=\frac{x}{2}-9$$