y=(2n+6)(5n-2)-(3n+2)(n+2)

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Solution for y=(2n+6)(5n-2)-(3n+2)(n+2) equation: 


Simplifying
y = (2n + 6)(5n + -2) + -1(3n + 2)(n + 2)

Reorder the terms:
y = (6 + 2n)(5n + -2) + -1(3n + 2)(n + 2)

Reorder the terms:
y = (6 + 2n)(-2 + 5n) + -1(3n + 2)(n + 2)

Multiply (6 + 2n) * (-2 + 5n)
y = (6(-2 + 5n) + 2n * (-2 + 5n)) + -1(3n + 2)(n + 2)
y = ((-2 * 6 + 5n * 6) + 2n * (-2 + 5n)) + -1(3n + 2)(n + 2)
y = ((-12 + 30n) + 2n * (-2 + 5n)) + -1(3n + 2)(n + 2)
y = (-12 + 30n + (-2 * 2n + 5n * 2n)) + -1(3n + 2)(n + 2)
y = (-12 + 30n + (-4n + 10n2)) + -1(3n + 2)(n + 2)

Combine like terms: 30n + -4n = 26n
y = (-12 + 26n + 10n2) + -1(3n + 2)(n + 2)

Reorder the terms:
y = -12 + 26n + 10n2 + -1(2 + 3n)(n + 2)

Reorder the terms:
y = -12 + 26n + 10n2 + -1(2 + 3n)(2 + n)

Multiply (2 + 3n) * (2 + n)
y = -12 + 26n + 10n2 + -1(2(2 + n) + 3n * (2 + n))
y = -12 + 26n + 10n2 + -1((2 * 2 + n * 2) + 3n * (2 + n))
y = -12 + 26n + 10n2 + -1((4 + 2n) + 3n * (2 + n))
y = -12 + 26n + 10n2 + -1(4 + 2n + (2 * 3n + n * 3n))
y = -12 + 26n + 10n2 + -1(4 + 2n + (6n + 3n2))

Combine like terms: 2n + 6n = 8n
y = -12 + 26n + 10n2 + -1(4 + 8n + 3n2)
y = -12 + 26n + 10n2 + (4 * -1 + 8n * -1 + 3n2 * -1)
y = -12 + 26n + 10n2 + (-4 + -8n + -3n2)

Reorder the terms:
y = -12 + -4 + 26n + -8n + 10n2 + -3n2

Combine like terms: -12 + -4 = -16
y = -16 + 26n + -8n + 10n2 + -3n2

Combine like terms: 26n + -8n = 18n
y = -16 + 18n + 10n2 + -3n2

Combine like terms: 10n2 + -3n2 = 7n2
y = -16 + 18n + 7n2

Solving
y = -16 + 18n + 7n2

Solving for variable 'y'.

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

Simplifying
y = -16 + 18n + 7n2

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