Y=(x^2-3x+5)-(-4x^2+8x+9)

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Solution for Y=(x^2-3x+5)-(-4x^2+8x+9) equation: 


Simplifying
Y = (x2 + -3x + 5) + -1(-4x2 + 8x + 9)

Reorder the terms:
Y = (5 + -3x + x2) + -1(-4x2 + 8x + 9)

Remove parenthesis around (5 + -3x + x2)
Y = 5 + -3x + x2 + -1(-4x2 + 8x + 9)

Reorder the terms:
Y = 5 + -3x + x2 + -1(9 + 8x + -4x2)
Y = 5 + -3x + x2 + (9 * -1 + 8x * -1 + -4x2 * -1)
Y = 5 + -3x + x2 + (-9 + -8x + 4x2)

Reorder the terms:
Y = 5 + -9 + -3x + -8x + x2 + 4x2

Combine like terms: 5 + -9 = -4
Y = -4 + -3x + -8x + x2 + 4x2

Combine like terms: -3x + -8x = -11x
Y = -4 + -11x + x2 + 4x2

Combine like terms: x2 + 4x2 = 5x2
Y = -4 + -11x + 5x2

Solving
Y = -4 + -11x + 5x2

Solving for variable 'Y'.

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

Simplifying
Y = -4 + -11x + 5x2

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