y=3(x-2)2-(x-5)2

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Solution for y=3(x-2)2-(x-5)2 equation: 


Simplifying
y = 3(x + -2) * 2 + -1(x + -5) * 2

Reorder the terms:
y = 3(-2 + x) * 2 + -1(x + -5) * 2

Reorder the terms for easier multiplication:
y = 3 * 2(-2 + x) + -1(x + -5) * 2

Multiply 3 * 2
y = 6(-2 + x) + -1(x + -5) * 2
y = (-2 * 6 + x * 6) + -1(x + -5) * 2
y = (-12 + 6x) + -1(x + -5) * 2

Reorder the terms:
y = -12 + 6x + -1(-5 + x) * 2

Reorder the terms for easier multiplication:
y = -12 + 6x + -1 * 2(-5 + x)

Multiply -1 * 2
y = -12 + 6x + -2(-5 + x)
y = -12 + 6x + (-5 * -2 + x * -2)
y = -12 + 6x + (10 + -2x)

Reorder the terms:
y = -12 + 10 + 6x + -2x

Combine like terms: -12 + 10 = -2
y = -2 + 6x + -2x

Combine like terms: 6x + -2x = 4x
y = -2 + 4x

Solving
y = -2 + 4x

Solving for variable 'y'.

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

Simplifying
y = -2 + 4x

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