y=(7x^2+6x-8)(8x-4)-(4x^2-4x+5)(14x+6)

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Solution for y=(7x^2+6x-8)(8x-4)-(4x^2-4x+5)(14x+6) equation: 


Simplifying
y = (7x2 + 6x + -8)(8x + -4) + -1(4x2 + -4x + 5)(14x + 6)

Reorder the terms:
y = (-8 + 6x + 7x2)(8x + -4) + -1(4x2 + -4x + 5)(14x + 6)

Reorder the terms:
y = (-8 + 6x + 7x2)(-4 + 8x) + -1(4x2 + -4x + 5)(14x + 6)

Multiply (-8 + 6x + 7x2) * (-4 + 8x)
y = (-8(-4 + 8x) + 6x * (-4 + 8x) + 7x2 * (-4 + 8x)) + -1(4x2 + -4x + 5)(14x + 6)
y = ((-4 * -8 + 8x * -8) + 6x * (-4 + 8x) + 7x2 * (-4 + 8x)) + -1(4x2 + -4x + 5)(14x + 6)
y = ((32 + -64x) + 6x * (-4 + 8x) + 7x2 * (-4 + 8x)) + -1(4x2 + -4x + 5)(14x + 6)
y = (32 + -64x + (-4 * 6x + 8x * 6x) + 7x2 * (-4 + 8x)) + -1(4x2 + -4x + 5)(14x + 6)
y = (32 + -64x + (-24x + 48x2) + 7x2 * (-4 + 8x)) + -1(4x2 + -4x + 5)(14x + 6)
y = (32 + -64x + -24x + 48x2 + (-4 * 7x2 + 8x * 7x2)) + -1(4x2 + -4x + 5)(14x + 6)
y = (32 + -64x + -24x + 48x2 + (-28x2 + 56x3)) + -1(4x2 + -4x + 5)(14x + 6)

Combine like terms: -64x + -24x = -88x
y = (32 + -88x + 48x2 + -28x2 + 56x3) + -1(4x2 + -4x + 5)(14x + 6)

Combine like terms: 48x2 + -28x2 = 20x2
y = (32 + -88x + 20x2 + 56x3) + -1(4x2 + -4x + 5)(14x + 6)

Reorder the terms:
y = 32 + -88x + 20x2 + 56x3 + -1(5 + -4x + 4x2)(14x + 6)

Reorder the terms:
y = 32 + -88x + 20x2 + 56x3 + -1(5 + -4x + 4x2)(6 + 14x)

Multiply (5 + -4x + 4x2) * (6 + 14x)
y = 32 + -88x + 20x2 + 56x3 + -1(5(6 + 14x) + -4x * (6 + 14x) + 4x2 * (6 + 14x))
y = 32 + -88x + 20x2 + 56x3 + -1((6 * 5 + 14x * 5) + -4x * (6 + 14x) + 4x2 * (6 + 14x))
y = 32 + -88x + 20x2 + 56x3 + -1((30 + 70x) + -4x * (6 + 14x) + 4x2 * (6 + 14x))
y = 32 + -88x + 20x2 + 56x3 + -1(30 + 70x + (6 * -4x + 14x * -4x) + 4x2 * (6 + 14x))
y = 32 + -88x + 20x2 + 56x3 + -1(30 + 70x + (-24x + -56x2) + 4x2 * (6 + 14x))
y = 32 + -88x + 20x2 + 56x3 + -1(30 + 70x + -24x + -56x2 + (6 * 4x2 + 14x * 4x2))
y = 32 + -88x + 20x2 + 56x3 + -1(30 + 70x + -24x + -56x2 + (24x2 + 56x3))

Combine like terms: 70x + -24x = 46x
y = 32 + -88x + 20x2 + 56x3 + -1(30 + 46x + -56x2 + 24x2 + 56x3)

Combine like terms: -56x2 + 24x2 = -32x2
y = 32 + -88x + 20x2 + 56x3 + -1(30 + 46x + -32x2 + 56x3)
y = 32 + -88x + 20x2 + 56x3 + (30 * -1 + 46x * -1 + -32x2 * -1 + 56x3 * -1)
y = 32 + -88x + 20x2 + 56x3 + (-30 + -46x + 32x2 + -56x3)

Reorder the terms:
y = 32 + -30 + -88x + -46x + 20x2 + 32x2 + 56x3 + -56x3

Combine like terms: 32 + -30 = 2
y = 2 + -88x + -46x + 20x2 + 32x2 + 56x3 + -56x3

Combine like terms: -88x + -46x = -134x
y = 2 + -134x + 20x2 + 32x2 + 56x3 + -56x3

Combine like terms: 20x2 + 32x2 = 52x2
y = 2 + -134x + 52x2 + 56x3 + -56x3

Combine like terms: 56x3 + -56x3 = 0
y = 2 + -134x + 52x2 + 0
y = 2 + -134x + 52x2

Solving
y = 2 + -134x + 52x2

Solving for variable 'y'.

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

Simplifying
y = 2 + -134x + 52x2

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