Solve x-1=x-1y+3y(2x-2x)

$$x - 1 = x - 1 y + 3 y ( 2 x - 2 x )$$

Solve for y

$$y=1$$

Steps for Solving Linear Equation

Combine 2x and -2x to get 0.

$$x-1=x-y+3y\times 0$$

Multiply 3 and 0 to get 0.

$$x-1=x-y+0y$$

Anything times zero gives zero.

$$x-1=x-y+0$$

Anything plus zero gives itself.

$$x-1=x-y$$

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

$$x-y=x-1$$

Subtract x from both sides.

$$-y=x-1-x$$

Combine x and -x to get 0.

$$-y=-1$$

Multiply both sides by -1.

$$y=1$$

Solve for x (complex solution)

$$x\in \mathrm{C}$$

$$y=1$$

Solve for x

$$x\in \mathrm{R}$$

$$y=1$$