Solve y+3=-4(x+7)

$$y + 3 = - 4 ( x + 7 )$$

Solve for x

$$x=\frac{-y-31}{4}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -4 by x+7.

$$y+3=-4x-28$$

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

$$-4x-28=y+3$$

Add 28 to both sides.

$$-4x=y+3+28$$

Add 3 and 28 to get 31.

$$-4x=y+31$$

Divide both sides by -4.

$$\frac{-4x}{-4}=\frac{y+31}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$x=\frac{y+31}{-4}$$

Divide y+31 by -4.

$$x=\frac{-y-31}{4}$$

Solve for y

$$y=-4x-31$$

Solution Steps

Use the distributive property to multiply -4 by x+7.

$$y+3=-4x-28$$

Subtract 3 from both sides.

$$y=-4x-28-3$$

Subtract 3 from -28 to get -31.

$$y=-4x-31$$