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

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


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

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

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

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

Combine like terms: 9x + -2x = 7x
y = (-3 + 7x + 6x2)

Solving
y = -3 + 7x + 6x2

Solving for variable 'y'.

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

Simplifying
y = -3 + 7x + 6x2

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