Solve y+6=-5(x+1)

$$y + 6 = - 5 ( x + 1 )$$

Solve for x

$$x=\frac{-y-11}{5}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -5 by x+1.

$$y+6=-5x-5$$

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

$$-5x-5=y+6$$

Add 5 to both sides.

$$-5x=y+6+5$$

Add 6 and 5 to get 11.

$$-5x=y+11$$

Divide both sides by -5.

$$\frac{-5x}{-5}=\frac{y+11}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$x=\frac{y+11}{-5}$$

Divide y+11 by -5.

$$x=\frac{-y-11}{5}$$

Solve for y

$$y=-5x-11$$

Solution Steps

Use the distributive property to multiply -5 by x+1.

$$y+6=-5x-5$$

Subtract 6 from both sides.

$$y=-5x-5-6$$

Subtract 6 from -5 to get -11.

$$y=-5x-11$$