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

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


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

Reorder the terms:
4y = 2(4 + 3x) + -1(6x + -2)
4y = (4 * 2 + 3x * 2) + -1(6x + -2)
4y = (8 + 6x) + -1(6x + -2)

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

Reorder the terms:
4y = 8 + 2 + 6x + -6x

Combine like terms: 8 + 2 = 10
4y = 10 + 6x + -6x

Combine like terms: 6x + -6x = 0
4y = 10 + 0
4y = 10

Solving
4y = 10

Solving for variable 'y'.

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

Divide each side by '4'.
y = 2.5

Simplifying
y = 2.5

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