Solve y-3=-6(x+4)

$$y - 3 = - 6 ( x + 4 )$$

Solve for x

$$x=-\frac{y}{6}-\frac{7}{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply -6 by x+4.

$$y-3=-6x-24$$

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

$$-6x-24=y-3$$

Add 24 to both sides.

$$-6x=y-3+24$$

Add -3 and 24 to get 21.

$$-6x=y+21$$

Divide both sides by -6.

$$\frac{-6x}{-6}=\frac{y+21}{-6}$$

Dividing by -6 undoes the multiplication by -6.

$$x=\frac{y+21}{-6}$$

Divide y+21 by -6.

$$x=-\frac{y}{6}-\frac{7}{2}$$

Solve for y

$$y=-6x-21$$

Solution Steps

Use the distributive property to multiply -6 by x+4.

$$y-3=-6x-24$$

Add 3 to both sides.

$$y=-6x-24+3$$

Add -24 and 3 to get -21.

$$y=-6x-21$$