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

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

Solve for x

$$x=y+2$$

Steps for Solving Linear Equation

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

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

Subtract 2x from both sides.

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

Combine x and -2x to get -x.

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

Add y to both sides.

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

Combine -2y and y to get -y.

$$-x=-y-2$$

Divide both sides by -1.

$$\frac{-x}{-1}=\frac{-y-2}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$x=\frac{-y-2}{-1}$$

Divide -y-2 by -1.

$$x=y+2$$

Solve for y

$$y=x-2$$

Solution Steps

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

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

Add 2y to both sides.

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

Combine -y and 2y to get y.

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

Subtract x from both sides.

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

Combine 2x and -x to get x.

$$y=x-2$$