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

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

Solve for x

$$x=\frac{-y-5}{2}$$

Steps for Solving Linear Equation

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

$$y+1=-2x-4$$

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

$$-2x-4=y+1$$

Add 4 to both sides.

$$-2x=y+1+4$$

Add 1 and 4 to get 5.

$$-2x=y+5$$

Divide both sides by -2.

$$\frac{-2x}{-2}=\frac{y+5}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$x=\frac{y+5}{-2}$$

Divide y+5 by -2.

$$x=\frac{-y-5}{2}$$

Solve for y

$$y=-2x-5$$

Solution Steps

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

$$y+1=-2x-4$$

Subtract 1 from both sides.

$$y=-2x-4-1$$

Subtract 1 from -4 to get -5.

$$y=-2x-5$$