Solve y+2=-4(x+5)

$$y + 2 = - 4 ( x + 5 )$$

Solve for x

$$x=-\frac{y}{4}-\frac{11}{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by x+5.

$$y+2=-4x-20$$

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

$$-4x-20=y+2$$

Add 20 to both sides.

$$-4x=y+2+20$$

Add 2 and 20 to get 22.

$$-4x=y+22$$

Divide both sides by -4.

$$\frac{-4x}{-4}=\frac{y+22}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$x=\frac{y+22}{-4}$$

Divide y+22 by -4.

$$x=-\frac{y}{4}-\frac{11}{2}$$

Solve for y

$$y=-4x-22$$

Solution Steps

Use the distributive property to multiply -4 by x+5.

$$y+2=-4x-20$$

Subtract 2 from both sides.

$$y=-4x-20-2$$

Subtract 2 from -20 to get -22.

$$y=-4x-22$$