y=-x^2-2x+3+-(x-1)(x+3)

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Solution for y=-x^2-2x+3+-(x-1)(x+3) equation: 


Simplifying
y = -1x2 + -2x + 3 + -1(x + -1)(x + 3)

Reorder the terms:
y = -1x2 + -2x + 3 + -1(-1 + x)(x + 3)

Reorder the terms:
y = -1x2 + -2x + 3 + -1(-1 + x)(3 + x)

Multiply (-1 + x) * (3 + x)
y = -1x2 + -2x + 3 + -1(-1(3 + x) + x(3 + x))
y = -1x2 + -2x + 3 + -1((3 * -1 + x * -1) + x(3 + x))
y = -1x2 + -2x + 3 + -1((-3 + -1x) + x(3 + x))
y = -1x2 + -2x + 3 + -1(-3 + -1x + (3 * x + x * x))
y = -1x2 + -2x + 3 + -1(-3 + -1x + (3x + x2))

Combine like terms: -1x + 3x = 2x
y = -1x2 + -2x + 3 + -1(-3 + 2x + x2)
y = -1x2 + -2x + 3 + (-3 * -1 + 2x * -1 + x2 * -1)
y = -1x2 + -2x + 3 + (3 + -2x + -1x2)

Reorder the terms:
y = 3 + 3 + -2x + -2x + -1x2 + -1x2

Combine like terms: 3 + 3 = 6
y = 6 + -2x + -2x + -1x2 + -1x2

Combine like terms: -2x + -2x = -4x
y = 6 + -4x + -1x2 + -1x2

Combine like terms: -1x2 + -1x2 = -2x2
y = 6 + -4x + -2x2

Solving
y = 6 + -4x + -2x2

Solving for variable 'y'.

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

Simplifying
y = 6 + -4x + -2x2

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