y=2[3x-(4x-6)]-5(x-6)

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Solution for y=2[3x-(4x-6)]-5(x-6) equation: 


Simplifying
y = 2[3x + -1(4x + -6)] + -5(x + -6)

Reorder the terms:
y = 2[3x + -1(-6 + 4x)] + -5(x + -6)
y = 2[3x + (-6 * -1 + 4x * -1)] + -5(x + -6)
y = 2[3x + (6 + -4x)] + -5(x + -6)

Reorder the terms:
y = 2[6 + 3x + -4x] + -5(x + -6)

Combine like terms: 3x + -4x = -1x
y = 2[6 + -1x] + -5(x + -6)
y = [6 * 2 + -1x * 2] + -5(x + -6)
y = [12 + -2x] + -5(x + -6)

Reorder the terms:
y = 12 + -2x + -5(-6 + x)
y = 12 + -2x + (-6 * -5 + x * -5)
y = 12 + -2x + (30 + -5x)

Reorder the terms:
y = 12 + 30 + -2x + -5x

Combine like terms: 12 + 30 = 42
y = 42 + -2x + -5x

Combine like terms: -2x + -5x = -7x
y = 42 + -7x

Solving
y = 42 + -7x

Solving for variable 'y'.

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

Simplifying
y = 42 + -7x

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