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

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

Solve for x

$$x=\frac{-y-10}{3}$$

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 10.

$$-3x=y+10$$

Divide both sides by -3.

$$\frac{-3x}{-3}=\frac{y+10}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$x=\frac{y+10}{-3}$$

Divide y+10 by -3.

$$x=\frac{-y-10}{3}$$

Solve for y

$$y=-3x-10$$

Solution Steps

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

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

Subtract 4 from both sides.

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

Subtract 4 from -6 to get -10.

$$y=-3x-10$$