Solve y-8=-5(x+4)

$$y - 8 = - 5 ( x + 4 )$$

Solve for x

$$x=\frac{-y-12}{5}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by x+4.

$$y-8=-5x-20$$

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

$$-5x-20=y-8$$

Add 20 to both sides.

$$-5x=y-8+20$$

Add -8 and 20 to get 12.

$$-5x=y+12$$

Divide both sides by -5.

$$\frac{-5x}{-5}=\frac{y+12}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$x=\frac{y+12}{-5}$$

Divide y+12 by -5.

$$x=\frac{-y-12}{5}$$

Solve for y

$$y=-5x-12$$

Solution Steps

Use the distributive property to multiply -5 by x+4.

$$y-8=-5x-20$$

Add 8 to both sides.

$$y=-5x-20+8$$

Add -20 and 8 to get -12.

$$y=-5x-12$$