Solve y+4=-2(x-1)

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

Solve for x

$$x=-\frac{y}{2}-1$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by x-1.

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

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

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

Subtract 2 from both sides.

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

Subtract 2 from 4 to get 2.

$$-2x=y+2$$

Divide both sides by -2.

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

Dividing by -2 undoes the multiplication by -2.

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

Divide y+2 by -2.

$$x=-\frac{y}{2}-1$$

Solve for y

$$y=-2x-2$$

Solution Steps

Use the distributive property to multiply -2 by x-1.

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

Subtract 4 from both sides.

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

Subtract 4 from 2 to get -2.

$$y=-2x-2$$