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

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

Solve for x

$$x=-\frac{y}{3}-5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by x+4.

$$y+3=-3x-12$$

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

$$-3x-12=y+3$$

Add 12 to both sides.

$$-3x=y+3+12$$

Add 3 and 12 to get 15.

$$-3x=y+15$$

Divide both sides by -3.

$$\frac{-3x}{-3}=\frac{y+15}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$x=\frac{y+15}{-3}$$

Divide y+15 by -3.

$$x=-\frac{y}{3}-5$$

Solve for y

$$y=-3x-15$$

Solution Steps

Use the distributive property to multiply -3 by x+4.

$$y+3=-3x-12$$

Subtract 3 from both sides.

$$y=-3x-12-3$$

Subtract 3 from -12 to get -15.

$$y=-3x-15$$