(X+3y)+(3x-y)=1

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Solution for (X+3y)+(3x-y)=1 equation:


Simplifying
(X + 3y) + (3x + -1y) = 1

Remove parenthesis around (X + 3y)
X + 3y + (3x + -1y) = 1

Remove parenthesis around (3x + -1y)
X + 3y + 3x + -1y = 1

Reorder the terms:
X + 3x + 3y + -1y = 1

Combine like terms: 3y + -1y = 2y
X + 3x + 2y = 1

Solving
X + 3x + 2y = 1

Solving for variable 'X'.

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

Add '-3x' to each side of the equation.
X + 3x + -3x + 2y = 1 + -3x

Combine like terms: 3x + -3x = 0
X + 0 + 2y = 1 + -3x
X + 2y = 1 + -3x

Add '-2y' to each side of the equation.
X + 2y + -2y = 1 + -3x + -2y

Combine like terms: 2y + -2y = 0
X + 0 = 1 + -3x + -2y
X = 1 + -3x + -2y

Simplifying
X = 1 + -3x + -2y

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