2(x+y)-z=2x+z

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Solution for 2(x+y)-z=2x+z equation:


Simplifying
2(x + y) + -1z = 2x + z
(x * 2 + y * 2) + -1z = 2x + z
(2x + 2y) + -1z = 2x + z

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

Reorder the terms:
2x + -2x + 2y + -1z = 2x + -2x + z

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

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

Solving
2y + -1z = z

Solving for variable 'y'.

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

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

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

Combine like terms: z + z = 2z
2y = 2z

Divide each side by '2'.
y = z

Simplifying
y = z

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