Solve y+4=-7x-42

$$y + 4 = - 7 x - 42$$

Solve for x

$$x=\frac{-y-46}{7}$$

Steps for Solving Linear Equation

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

$$-7x-42=y+4$$

Add 42 to both sides.

$$-7x=y+4+42$$

Add 4 and 42 to get 46.

$$-7x=y+46$$

Divide both sides by -7.

$$\frac{-7x}{-7}=\frac{y+46}{-7}$$

Dividing by -7 undoes the multiplication by -7.

$$x=\frac{y+46}{-7}$$

Divide y+46 by -7.

$$x=\frac{-y-46}{7}$$

Solve for y

$$y=-7x-46$$

Solution Steps

Subtract 4 from both sides.

$$y=-7x-42-4$$

Subtract 4 from -42 to get -46.

$$y=-7x-46$$