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

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


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

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

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

Multiply (3 + x) * (3 + x)
y = (3(3 + x) + x(3 + x)) + -1(x + 2)(x + 3)
y = ((3 * 3 + x * 3) + x(3 + x)) + -1(x + 2)(x + 3)
y = ((9 + 3x) + x(3 + x)) + -1(x + 2)(x + 3)
y = (9 + 3x + (3 * x + x * x)) + -1(x + 2)(x + 3)
y = (9 + 3x + (3x + x2)) + -1(x + 2)(x + 3)

Combine like terms: 3x + 3x = 6x
y = (9 + 6x + x2) + -1(x + 2)(x + 3)

Reorder the terms:
y = 9 + 6x + x2 + -1(2 + x)(x + 3)

Reorder the terms:
y = 9 + 6x + x2 + -1(2 + x)(3 + x)

Multiply (2 + x) * (3 + x)
y = 9 + 6x + x2 + -1(2(3 + x) + x(3 + x))
y = 9 + 6x + x2 + -1((3 * 2 + x * 2) + x(3 + x))
y = 9 + 6x + x2 + -1((6 + 2x) + x(3 + x))
y = 9 + 6x + x2 + -1(6 + 2x + (3 * x + x * x))
y = 9 + 6x + x2 + -1(6 + 2x + (3x + x2))

Combine like terms: 2x + 3x = 5x
y = 9 + 6x + x2 + -1(6 + 5x + x2)
y = 9 + 6x + x2 + (6 * -1 + 5x * -1 + x2 * -1)
y = 9 + 6x + x2 + (-6 + -5x + -1x2)

Reorder the terms:
y = 9 + -6 + 6x + -5x + x2 + -1x2

Combine like terms: 9 + -6 = 3
y = 3 + 6x + -5x + x2 + -1x2

Combine like terms: 6x + -5x = 1x
y = 3 + 1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
y = 3 + 1x + 0
y = 3 + 1x

Solving
y = 3 + 1x

Solving for variable 'y'.

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

Simplifying
y = 3 + 1x

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