y=(4x+1)[6x*2x*2x]-4[6x(x^2+7)]

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Solution for y=(4x+1)[6x*2x*2x]-4[6x(x^2+7)] equation:


Simplifying
y = (4x + 1)[6x * 2x * 2x] + -4[6x(x2 + 7)]

Reorder the terms:
y = (1 + 4x)[6x * 2x * 2x] + -4[6x(x2 + 7)]

Reorder the terms for easier multiplication:
y = (1 + 4x)[6 * 2 * 2x * x * x] + -4[6x(x2 + 7)]

Multiply 6 * 2
y = (1 + 4x)[12 * 2x * x * x] + -4[6x(x2 + 7)]

Multiply 12 * 2
y = (1 + 4x)[24x * x * x] + -4[6x(x2 + 7)]

Multiply x * x
y = (1 + 4x)[24x2 * x] + -4[6x(x2 + 7)]

Multiply x2 * x
y = (1 + 4x)[24x3] + -4[6x(x2 + 7)]

Remove brackets around [24x3]
y = (1 + 4x) * 24x3 + -4[6x(x2 + 7)]

Reorder the terms for easier multiplication:
y = 24x3(1 + 4x) + -4[6x(x2 + 7)]
y = (1 * 24x3 + 4x * 24x3) + -4[6x(x2 + 7)]
y = (24x3 + 96x4) + -4[6x(x2 + 7)]

Reorder the terms:
y = 24x3 + 96x4 + -4[6x(7 + x2)]
y = 24x3 + 96x4 + -4[(7 * 6x + x2 * 6x)]
y = 24x3 + 96x4 + -4[(42x + 6x3)]
y = 24x3 + 96x4 + [42x * -4 + 6x3 * -4]
y = 24x3 + 96x4 + [-168x + -24x3]

Reorder the terms:
y = -168x + 24x3 + -24x3 + 96x4

Combine like terms: 24x3 + -24x3 = 0
y = -168x + 0 + 96x4
y = -168x + 96x4

Solving
y = -168x + 96x4

Solving for variable 'y'.

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

Simplifying
y = -168x + 96x4

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