y=(7x^2+3)(4)-(4x-7)(14x+3)

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Solution for y=(7x^2+3)(4)-(4x-7)(14x+3) equation: 


Simplifying
y = (7x2 + 3)(4) + -1(4x + -7)(14x + 3)

Reorder the terms:
y = (3 + 7x2)(4) + -1(4x + -7)(14x + 3)

Reorder the terms for easier multiplication:
y = 4(3 + 7x2) + -1(4x + -7)(14x + 3)
y = (3 * 4 + 7x2 * 4) + -1(4x + -7)(14x + 3)
y = (12 + 28x2) + -1(4x + -7)(14x + 3)

Reorder the terms:
y = 12 + 28x2 + -1(-7 + 4x)(14x + 3)

Reorder the terms:
y = 12 + 28x2 + -1(-7 + 4x)(3 + 14x)

Multiply (-7 + 4x) * (3 + 14x)
y = 12 + 28x2 + -1(-7(3 + 14x) + 4x * (3 + 14x))
y = 12 + 28x2 + -1((3 * -7 + 14x * -7) + 4x * (3 + 14x))
y = 12 + 28x2 + -1((-21 + -98x) + 4x * (3 + 14x))
y = 12 + 28x2 + -1(-21 + -98x + (3 * 4x + 14x * 4x))
y = 12 + 28x2 + -1(-21 + -98x + (12x + 56x2))

Combine like terms: -98x + 12x = -86x
y = 12 + 28x2 + -1(-21 + -86x + 56x2)
y = 12 + 28x2 + (-21 * -1 + -86x * -1 + 56x2 * -1)
y = 12 + 28x2 + (21 + 86x + -56x2)

Reorder the terms:
y = 12 + 21 + 86x + 28x2 + -56x2

Combine like terms: 12 + 21 = 33
y = 33 + 86x + 28x2 + -56x2

Combine like terms: 28x2 + -56x2 = -28x2
y = 33 + 86x + -28x2

Solving
y = 33 + 86x + -28x2

Solving for variable 'y'.

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

Simplifying
y = 33 + 86x + -28x2

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