Solve x+y-z-(x-y+z)=170-130

$$x+y-z-(x-y+z)=170-130$$

Solve for y

$$y=z+20$$

Steps for Solving Linear Equation

To find the opposite of x-y+z, find the opposite of each term.

$$x+y-z-x+y-z=170-130$$

Combine x and -x to get 0.

$$y-z+y-z=170-130$$

Combine y and y to get 2y.

$$2y-z-z=170-130$$

Combine -z and -z to get -2z.

$$2y-2z=170-130$$

Subtract 130 from 170 to get 40.

$$2y-2z=40$$

Add 2z to both sides.

$$2y=40+2z$$

The equation is in standard form.

$$2y=2z+40$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{2z+40}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{2z+40}{2}$$

Divide 40+2z by 2.

$$y=z+20$$

Solve for x

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

$$y=z+20$$