Solve y+6=6(x-1)

$$y + 6 = 6 ( x - 1 )$$

Solve for x

$$x=\frac{y+12}{6}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by x-1.

$$y+6=6x-6$$

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

$$6x-6=y+6$$

Add 6 to both sides.

$$6x=y+6+6$$

Add 6 and 6 to get 12.

$$6x=y+12$$

Divide both sides by 6.

$$\frac{6x}{6}=\frac{y+12}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$x=\frac{y+12}{6}$$

Divide y+12 by 6.

$$x=\frac{y}{6}+2$$

Solve for y

$$y=6\left(x-2\right)$$

Solution Steps

Use the distributive property to multiply 6 by x-1.

$$y+6=6x-6$$

Subtract 6 from both sides.

$$y=6x-6-6$$

Subtract 6 from -6 to get -12.

$$y=6x-12$$