Solve y+6=8(x-1)

$$y + 6 = 8 ( x - 1 )$$

Solve for x

$$x=\frac{y+14}{8}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by x-1.

$$y+6=8x-8$$

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

$$8x-8=y+6$$

Add 8 to both sides.

$$8x=y+6+8$$

Add 6 and 8 to get 14.

$$8x=y+14$$

Divide both sides by 8.

$$\frac{8x}{8}=\frac{y+14}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$x=\frac{y+14}{8}$$

Divide y+14 by 8.

$$x=\frac{y}{8}+\frac{7}{4}$$

Solve for y

$$y=8x-14$$

Solution Steps

Use the distributive property to multiply 8 by x-1.

$$y+6=8x-8$$

Subtract 6 from both sides.

$$y=8x-8-6$$

Subtract 6 from -8 to get -14.

$$y=8x-14$$