6-1Y-1Z+2Y+2Z=14

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Solution for 6-1Y-1Z+2Y+2Z=14 equation:


Simplifying
6 + -1Y + -1Z + 2Y + 2Z = 14

Reorder the terms:
6 + -1Y + 2Y + -1Z + 2Z = 14

Combine like terms: -1Y + 2Y = 1Y
6 + 1Y + -1Z + 2Z = 14

Combine like terms: -1Z + 2Z = 1Z
6 + 1Y + 1Z = 14

Solving
6 + 1Y + 1Z = 14

Solving for variable 'Y'.

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

Add '-6' to each side of the equation.
6 + 1Y + -6 + 1Z = 14 + -6

Reorder the terms:
6 + -6 + 1Y + 1Z = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 1Y + 1Z = 14 + -6
1Y + 1Z = 14 + -6

Combine like terms: 14 + -6 = 8
1Y + 1Z = 8

Add '-1Z' to each side of the equation.
1Y + 1Z + -1Z = 8 + -1Z

Combine like terms: 1Z + -1Z = 0
1Y + 0 = 8 + -1Z
1Y = 8 + -1Z

Divide each side by '1'.
Y = 8 + -1Z

Simplifying
Y = 8 + -1Z

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