Solve y-4=-3(x+2)

$$y - 4 = - 3 ( x + 2 )$$

Solve for x

$$x=\frac{-y-2}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by x+2.

$$y-4=-3x-6$$

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

$$-3x-6=y-4$$

Add 6 to both sides.

$$-3x=y-4+6$$

Add -4 and 6 to get 2.

$$-3x=y+2$$

Divide both sides by -3.

$$\frac{-3x}{-3}=\frac{y+2}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$x=\frac{y+2}{-3}$$

Divide y+2 by -3.

$$x=\frac{-y-2}{3}$$

Solve for y

$$y=-3x-2$$

Solution Steps

Use the distributive property to multiply -3 by x+2.

$$y-4=-3x-6$$

Add 4 to both sides.

$$y=-3x-6+4$$

Add -6 and 4 to get -2.

$$y=-3x-2$$