Solve y+3=-4(x-8)

$$y + 3 = - 4 ( x - 8 )$$

Solve for x

$$x=\frac{29-y}{4}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by x-8.

$$y+3=-4x+32$$

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

$$-4x+32=y+3$$

Subtract 32 from both sides.

$$-4x=y+3-32$$

Subtract 32 from 3 to get -29.

$$-4x=y-29$$

Divide both sides by -4.

$$\frac{-4x}{-4}=\frac{y-29}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$x=\frac{y-29}{-4}$$

Divide y-29 by -4.

$$x=\frac{29-y}{4}$$

Solve for y

$$y=29-4x$$

Solution Steps

Use the distributive property to multiply -4 by x-8.

$$y+3=-4x+32$$

Subtract 3 from both sides.

$$y=-4x+32-3$$

Subtract 3 from 32 to get 29.

$$y=-4x+29$$