y=(x^2+7)(10x)-(5x^2+2)(2x)

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Solution for y=(x^2+7)(10x)-(5x^2+2)(2x) equation: 


Simplifying
y = (x2 + 7)(10x) + -1(5x2 + 2)(2x)

Reorder the terms:
y = (7 + x2)(10x) + -1(5x2 + 2)(2x)

Remove parenthesis around (10x)
y = (7 + x2) * 10x + -1(5x2 + 2)(2x)

Reorder the terms for easier multiplication:
y = 10x(7 + x2) + -1(5x2 + 2)(2x)
y = (7 * 10x + x2 * 10x) + -1(5x2 + 2)(2x)
y = (70x + 10x3) + -1(5x2 + 2)(2x)

Reorder the terms:
y = 70x + 10x3 + -1(2 + 5x2)(2x)

Remove parenthesis around (2x)
y = 70x + 10x3 + -1(2 + 5x2) * 2x

Reorder the terms for easier multiplication:
y = 70x + 10x3 + -1 * 2x(2 + 5x2)

Multiply -1 * 2
y = 70x + 10x3 + -2x(2 + 5x2)
y = 70x + 10x3 + (2 * -2x + 5x2 * -2x)
y = 70x + 10x3 + (-4x + -10x3)

Reorder the terms:
y = 70x + -4x + 10x3 + -10x3

Combine like terms: 70x + -4x = 66x
y = 66x + 10x3 + -10x3

Combine like terms: 10x3 + -10x3 = 0
y = 66x + 0
y = 66x

Solving
y = 66x

Solving for variable 'y'.

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

Simplifying
y = 66x

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