y=(-3x+2)(x-6)-2(x+8)

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Solution for y=(-3x+2)(x-6)-2(x+8) equation: 


Simplifying
y = (-3x + 2)(x + -6) + -2(x + 8)

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

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

Multiply (2 + -3x) * (-6 + x)
y = (2(-6 + x) + -3x * (-6 + x)) + -2(x + 8)
y = ((-6 * 2 + x * 2) + -3x * (-6 + x)) + -2(x + 8)
y = ((-12 + 2x) + -3x * (-6 + x)) + -2(x + 8)
y = (-12 + 2x + (-6 * -3x + x * -3x)) + -2(x + 8)
y = (-12 + 2x + (18x + -3x2)) + -2(x + 8)

Combine like terms: 2x + 18x = 20x
y = (-12 + 20x + -3x2) + -2(x + 8)

Reorder the terms:
y = -12 + 20x + -3x2 + -2(8 + x)
y = -12 + 20x + -3x2 + (8 * -2 + x * -2)
y = -12 + 20x + -3x2 + (-16 + -2x)

Reorder the terms:
y = -12 + -16 + 20x + -2x + -3x2

Combine like terms: -12 + -16 = -28
y = -28 + 20x + -2x + -3x2

Combine like terms: 20x + -2x = 18x
y = -28 + 18x + -3x2

Solving
y = -28 + 18x + -3x2

Solving for variable 'y'.

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

Simplifying
y = -28 + 18x + -3x2

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