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

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

Solve for x

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

Steps for Solving Linear Equation

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

$$y-4=-3x-9$$

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

$$-3x-9=y-4$$

Add 9 to both sides.

$$-3x=y-4+9$$

Add -4 and 9 to get 5.

$$-3x=y+5$$

Divide both sides by -3.

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

Dividing by -3 undoes the multiplication by -3.

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

Divide y+5 by -3.

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

Solve for y

$$y=-3x-5$$

Solution Steps

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

$$y-4=-3x-9$$

Add 4 to both sides.

$$y=-3x-9+4$$

Add -9 and 4 to get -5.

$$y=-3x-5$$