-y(2)-4y+12=-1(y-6)(y+2)

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Solution for -y(2)-4y+12=-1(y-6)(y+2) equation: 


Simplifying
-1y(2) + -4y + 12 = -1(y + -6)(y + 2)

Reorder the terms for easier multiplication:
-1 * 2y + -4y + 12 = -1(y + -6)(y + 2)

Multiply -1 * 2
-2y + -4y + 12 = -1(y + -6)(y + 2)

Reorder the terms:
12 + -2y + -4y = -1(y + -6)(y + 2)

Combine like terms: -2y + -4y = -6y
12 + -6y = -1(y + -6)(y + 2)

Reorder the terms:
12 + -6y = -1(-6 + y)(y + 2)

Reorder the terms:
12 + -6y = -1(-6 + y)(2 + y)

Multiply (-6 + y) * (2 + y)
12 + -6y = -1(-6(2 + y) + y(2 + y))
12 + -6y = -1((2 * -6 + y * -6) + y(2 + y))
12 + -6y = -1((-12 + -6y) + y(2 + y))
12 + -6y = -1(-12 + -6y + (2 * y + y * y))
12 + -6y = -1(-12 + -6y + (2y + y2))

Combine like terms: -6y + 2y = -4y
12 + -6y = -1(-12 + -4y + y2)
12 + -6y = (-12 * -1 + -4y * -1 + y2 * -1)
12 + -6y = (12 + 4y + -1y2)

Add '-12' to each side of the equation.
12 + -12 + -6y = 12 + 4y + -12 + -1y2

Combine like terms: 12 + -12 = 0
0 + -6y = 12 + 4y + -12 + -1y2
-6y = 12 + 4y + -12 + -1y2

Reorder the terms:
-6y = 12 + -12 + 4y + -1y2

Combine like terms: 12 + -12 = 0
-6y = 0 + 4y + -1y2
-6y = 4y + -1y2

Solving
-6y = 4y + -1y2

Solving for variable 'y'.

Combine like terms: -6y + -4y = -10y
-10y + y2 = 4y + -1y2 + -4y + y2

Reorder the terms:
-10y + y2 = 4y + -4y + -1y2 + y2

Combine like terms: 4y + -4y = 0
-10y + y2 = 0 + -1y2 + y2
-10y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-10y + y2 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-10 + y) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(-10 + y)' equal to zero and attempt to solve:

Simplifying
-10 + y = 0

Solving
-10 + y = 0

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

Add '10' to each side of the equation.
-10 + 10 + y = 0 + 10

Combine like terms: -10 + 10 = 0
0 + y = 0 + 10
y = 0 + 10

Combine like terms: 0 + 10 = 10
y = 10

Simplifying
y = 10
Solution
y = {0, 10}

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