4x-(3(2x+y)-(x-(2x-y)))=1

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Solution for 4x-(3(2x+y)-(x-(2x-y)))=1 equation:


Simplifying
4x + -1(3(2x + y) + -1(x + -1(2x + -1y))) = 1
4x + -1((2x * 3 + y * 3) + -1(x + -1(2x + -1y))) = 1
4x + -1((6x + 3y) + -1(x + -1(2x + -1y))) = 1
4x + -1(6x + 3y + -1(x + (2x * -1 + -1y * -1))) = 1
4x + -1(6x + 3y + -1(x + (-2x + 1y))) = 1

Combine like terms: x + -2x = -1x
4x + -1(6x + 3y + -1(-1x + 1y)) = 1
4x + -1(6x + 3y + (-1x * -1 + 1y * -1)) = 1
4x + -1(6x + 3y + (1x + -1y)) = 1

Reorder the terms:
4x + -1(6x + 1x + 3y + -1y) = 1

Combine like terms: 6x + 1x = 7x
4x + -1(7x + 3y + -1y) = 1

Combine like terms: 3y + -1y = 2y
4x + -1(7x + 2y) = 1
4x + (7x * -1 + 2y * -1) = 1
4x + (-7x + -2y) = 1

Combine like terms: 4x + -7x = -3x
-3x + -2y = 1

Solving
-3x + -2y = 1

Solving for variable 'x'.

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

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

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

Divide each side by '-3'.
x = -0.3333333333 + -0.6666666667y

Simplifying
x = -0.3333333333 + -0.6666666667y

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