Solve y-6=-2(x-3)

$$y - 6 = - 2 ( x - 3 )$$

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by x-3.

$$y-6=-2x+6$$

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

$$-2x+6=y-6$$

Subtract 6 from both sides.

$$-2x=y-6-6$$

Subtract 6 from -6 to get -12.

$$-2x=y-12$$

Divide both sides by -2.

$$\frac{-2x}{-2}=\frac{y-12}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$x=\frac{y-12}{-2}$$

Divide y-12 by -2.

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

Solve for y

$$y=12-2x$$

Solution Steps

Use the distributive property to multiply -2 by x-3.

$$y-6=-2x+6$$

Add 6 to both sides.

$$y=-2x+6+6$$

Add 6 and 6 to get 12.

$$y=-2x+12$$