Solve x+213-3y+y=x

$$x + 213 - 3 y + y = x$$

Solve for y

$$y = \frac{213}{2} = 106\frac{1}{2} = 106.5$$

Steps for Solving Linear Equation

Combine -3y and y to get -2y.

$$x+213-2y=x$$

Subtract x from both sides.

$$213-2y=x-x$$

Combine x and -x to get 0.

$$213-2y=0$$

Subtract 213 from both sides. Anything subtracted from zero gives its negation.

$$-2y=-213$$

Divide both sides by -2.

$$y=\frac{-213}{-2}$$

Fraction \frac{-213}{-2} can be simplified to \frac{213}{2} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{213}{2}$$

Solve for x (complex solution)

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

$$y = \frac{213}{2} = 106\frac{1}{2} = 106.5$$

Solve for x

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

$$y = \frac{213}{2} = 106\frac{1}{2} = 106.5$$