6-y-z=7-y-2z

Solution for 6-y-z=7-y-2z equation:

Simplifying
6 + -1y + -1z = 7 + -1y + -2z

Add 'y' to each side of the equation.
6 + -1y + y + -1z = 7 + -1y + y + -2z

Combine like terms: -1y + y = 0
6 + 0 + -1z = 7 + -1y + y + -2z
6 + -1z = 7 + -1y + y + -2z

Combine like terms: -1y + y = 0
6 + -1z = 7 + 0 + -2z
6 + -1z = 7 + -2z

Solving
6 + -1z = 7 + -2z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '2z' to each side of the equation.
6 + -1z + 2z = 7 + -2z + 2z

Combine like terms: -1z + 2z = 1z
6 + 1z = 7 + -2z + 2z

Combine like terms: -2z + 2z = 0
6 + 1z = 7 + 0
6 + 1z = 7

Add '-6' to each side of the equation.
6 + -6 + 1z = 7 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = 7 + -6
1z = 7 + -6

Combine like terms: 7 + -6 = 1
1z = 1

Divide each side by '1'.
z = 1

Simplifying
z = 1