Solve y+1=-3(x+2)

$$y+1=-3(x+2)$$

Solve for x

$$x=\frac{-y-7}{3}$$

Steps for Solving Linear Equation

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

$$y+1=-3x-6$$

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

$$-3x-6=y+1$$

Add 6 to both sides.

$$-3x=y+1+6$$

Add 1 and 6 to get 7.

$$-3x=y+7$$

Divide both sides by -3.

$$\frac{-3x}{-3}=\frac{y+7}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$x=\frac{y+7}{-3}$$

Divide y+7 by -3.

$$x=\frac{-y-7}{3}$$

Solve for y

$$y=-3x-7$$

Solution Steps

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

$$y+1=-3x-6$$

Subtract 1 from both sides.

$$y=-3x-6-1$$

Subtract 1 from -6 to get -7.

$$y=-3x-7$$