y=2[2x-(3x-4)]-5(x-4)

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Solution for y=2[2x-(3x-4)]-5(x-4) equation:


Simplifying
y = 2[2x + -1(3x + -4)] + -5(x + -4)

Reorder the terms:
y = 2[2x + -1(-4 + 3x)] + -5(x + -4)
y = 2[2x + (-4 * -1 + 3x * -1)] + -5(x + -4)
y = 2[2x + (4 + -3x)] + -5(x + -4)

Reorder the terms:
y = 2[4 + 2x + -3x] + -5(x + -4)

Combine like terms: 2x + -3x = -1x
y = 2[4 + -1x] + -5(x + -4)
y = [4 * 2 + -1x * 2] + -5(x + -4)
y = [8 + -2x] + -5(x + -4)

Reorder the terms:
y = 8 + -2x + -5(-4 + x)
y = 8 + -2x + (-4 * -5 + x * -5)
y = 8 + -2x + (20 + -5x)

Reorder the terms:
y = 8 + 20 + -2x + -5x

Combine like terms: 8 + 20 = 28
y = 28 + -2x + -5x

Combine like terms: -2x + -5x = -7x
y = 28 + -7x

Solving
y = 28 + -7x

Solving for variable 'y'.

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

Simplifying
y = 28 + -7x

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