Solve y+1=-4(x+3)

$$y + 1 = - 4 ( x + 3 )$$

Solve for x

$$x=\frac{-y-13}{4}$$

Steps for Solving Linear Equation

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

$$y+1=-4x-12$$

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

$$-4x-12=y+1$$

Add 12 to both sides.

$$-4x=y+1+12$$

Add 1 and 12 to get 13.

$$-4x=y+13$$

Divide both sides by -4.

$$\frac{-4x}{-4}=\frac{y+13}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$x=\frac{y+13}{-4}$$

Divide y+13 by -4.

$$x=\frac{-y-13}{4}$$

Solve for y

$$y=-4x-13$$

Solution Steps

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

$$y+1=-4x-12$$

Subtract 1 from both sides.

$$y=-4x-12-1$$

Subtract 1 from -12 to get -13.

$$y=-4x-13$$