6x-3(2y-3)=y-2(4x-1)

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Solution for 6x-3(2y-3)=y-2(4x-1) equation:


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

Reorder the terms:
6x + -3(-3 + 2y) = y + -2(4x + -1)
6x + (-3 * -3 + 2y * -3) = y + -2(4x + -1)
6x + (9 + -6y) = y + -2(4x + -1)

Reorder the terms:
9 + 6x + -6y = y + -2(4x + -1)

Reorder the terms:
9 + 6x + -6y = y + -2(-1 + 4x)
9 + 6x + -6y = y + (-1 * -2 + 4x * -2)
9 + 6x + -6y = y + (2 + -8x)

Reorder the terms:
9 + 6x + -6y = 2 + -8x + y

Solving
9 + 6x + -6y = 2 + -8x + y

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
9 + 6x + 8x + -6y = 2 + -8x + 8x + y

Combine like terms: 6x + 8x = 14x
9 + 14x + -6y = 2 + -8x + 8x + y

Combine like terms: -8x + 8x = 0
9 + 14x + -6y = 2 + 0 + y
9 + 14x + -6y = 2 + y

Add '-9' to each side of the equation.
9 + 14x + -9 + -6y = 2 + -9 + y

Reorder the terms:
9 + -9 + 14x + -6y = 2 + -9 + y

Combine like terms: 9 + -9 = 0
0 + 14x + -6y = 2 + -9 + y
14x + -6y = 2 + -9 + y

Combine like terms: 2 + -9 = -7
14x + -6y = -7 + y

Add '6y' to each side of the equation.
14x + -6y + 6y = -7 + y + 6y

Combine like terms: -6y + 6y = 0
14x + 0 = -7 + y + 6y
14x = -7 + y + 6y

Combine like terms: y + 6y = 7y
14x = -7 + 7y

Divide each side by '14'.
x = -0.5 + 0.5y

Simplifying
x = -0.5 + 0.5y

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