2X+6Y+2X-5Y+1+Y=3X-1+2Y

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Solution for 2X+6Y+2X-5Y+1+Y=3X-1+2Y equation: 


Simplifying
2X + 6Y + 2X + -5Y + 1 + Y = 3X + -1 + 2Y

Reorder the terms:
1 + 2X + 2X + 6Y + -5Y + Y = 3X + -1 + 2Y

Combine like terms: 2X + 2X = 4X
1 + 4X + 6Y + -5Y + Y = 3X + -1 + 2Y

Combine like terms: 6Y + -5Y = 1Y
1 + 4X + 1Y + Y = 3X + -1 + 2Y

Combine like terms: 1Y + Y = 2Y
1 + 4X + 2Y = 3X + -1 + 2Y

Reorder the terms:
1 + 4X + 2Y = -1 + 3X + 2Y

Add '-2Y' to each side of the equation.
1 + 4X + 2Y + -2Y = -1 + 3X + 2Y + -2Y

Combine like terms: 2Y + -2Y = 0
1 + 4X + 0 = -1 + 3X + 2Y + -2Y
1 + 4X = -1 + 3X + 2Y + -2Y

Combine like terms: 2Y + -2Y = 0
1 + 4X = -1 + 3X + 0
1 + 4X = -1 + 3X

Solving
1 + 4X = -1 + 3X

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.
1 + 4X + -3X = -1 + 3X + -3X

Combine like terms: 4X + -3X = 1X
1 + 1X = -1 + 3X + -3X

Combine like terms: 3X + -3X = 0
1 + 1X = -1 + 0
1 + 1X = -1

Add '-1' to each side of the equation.
1 + -1 + 1X = -1 + -1

Combine like terms: 1 + -1 = 0
0 + 1X = -1 + -1
1X = -1 + -1

Combine like terms: -1 + -1 = -2
1X = -2

Divide each side by '1'.
X = -2

Simplifying
X = -2

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