(y-3)(y-2)(y-1)=3y+9

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Solution for (y-3)(y-2)(y-1)=3y+9 equation: 


Simplifying
(y + -3)(y + -2)(y + -1) = 3y + 9

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

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

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

Multiply (-3 + y) * (-2 + y)
(-3(-2 + y) + y(-2 + y))(-1 + y) = 3y + 9
((-2 * -3 + y * -3) + y(-2 + y))(-1 + y) = 3y + 9
((6 + -3y) + y(-2 + y))(-1 + y) = 3y + 9
(6 + -3y + (-2 * y + y * y))(-1 + y) = 3y + 9
(6 + -3y + (-2y + y2))(-1 + y) = 3y + 9

Combine like terms: -3y + -2y = -5y
(6 + -5y + y2)(-1 + y) = 3y + 9

Multiply (6 + -5y + y2) * (-1 + y)
(6(-1 + y) + -5y * (-1 + y) + y2(-1 + y)) = 3y + 9
((-1 * 6 + y * 6) + -5y * (-1 + y) + y2(-1 + y)) = 3y + 9
((-6 + 6y) + -5y * (-1 + y) + y2(-1 + y)) = 3y + 9
(-6 + 6y + (-1 * -5y + y * -5y) + y2(-1 + y)) = 3y + 9
(-6 + 6y + (5y + -5y2) + y2(-1 + y)) = 3y + 9
(-6 + 6y + 5y + -5y2 + (-1 * y2 + y * y2)) = 3y + 9
(-6 + 6y + 5y + -5y2 + (-1y2 + y3)) = 3y + 9

Combine like terms: 6y + 5y = 11y
(-6 + 11y + -5y2 + -1y2 + y3) = 3y + 9

Combine like terms: -5y2 + -1y2 = -6y2
(-6 + 11y + -6y2 + y3) = 3y + 9

Reorder the terms:
-6 + 11y + -6y2 + y3 = 9 + 3y

Solving
-6 + 11y + -6y2 + y3 = 9 + 3y

Solving for variable 'y'.

Reorder the terms:
-6 + -9 + 11y + -3y + -6y2 + y3 = 9 + 3y + -9 + -3y

Combine like terms: -6 + -9 = -15
-15 + 11y + -3y + -6y2 + y3 = 9 + 3y + -9 + -3y

Combine like terms: 11y + -3y = 8y
-15 + 8y + -6y2 + y3 = 9 + 3y + -9 + -3y

Reorder the terms:
-15 + 8y + -6y2 + y3 = 9 + -9 + 3y + -3y

Combine like terms: 9 + -9 = 0
-15 + 8y + -6y2 + y3 = 0 + 3y + -3y
-15 + 8y + -6y2 + y3 = 3y + -3y

Combine like terms: 3y + -3y = 0
-15 + 8y + -6y2 + y3 = 0

The solution to this equation could not be determined.

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