-4y+8=4(2y-2)(-16+8y)

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Solution for -4y+8=4(2y-2)(-16+8y) equation: 


Simplifying
-4y + 8 = 4(2y + -2)(-16 + 8y)

Reorder the terms:
8 + -4y = 4(2y + -2)(-16 + 8y)

Reorder the terms:
8 + -4y = 4(-2 + 2y)(-16 + 8y)

Multiply (-2 + 2y) * (-16 + 8y)
8 + -4y = 4(-2(-16 + 8y) + 2y * (-16 + 8y))
8 + -4y = 4((-16 * -2 + 8y * -2) + 2y * (-16 + 8y))
8 + -4y = 4((32 + -16y) + 2y * (-16 + 8y))
8 + -4y = 4(32 + -16y + (-16 * 2y + 8y * 2y))
8 + -4y = 4(32 + -16y + (-32y + 16y2))

Combine like terms: -16y + -32y = -48y
8 + -4y = 4(32 + -48y + 16y2)
8 + -4y = (32 * 4 + -48y * 4 + 16y2 * 4)
8 + -4y = (128 + -192y + 64y2)

Solving
8 + -4y = 128 + -192y + 64y2

Solving for variable 'y'.

Reorder the terms:
8 + -128 + -4y + 192y + -64y2 = 128 + -192y + 64y2 + -128 + 192y + -64y2

Combine like terms: 8 + -128 = -120
-120 + -4y + 192y + -64y2 = 128 + -192y + 64y2 + -128 + 192y + -64y2

Combine like terms: -4y + 192y = 188y
-120 + 188y + -64y2 = 128 + -192y + 64y2 + -128 + 192y + -64y2

Reorder the terms:
-120 + 188y + -64y2 = 128 + -128 + -192y + 192y + 64y2 + -64y2

Combine like terms: 128 + -128 = 0
-120 + 188y + -64y2 = 0 + -192y + 192y + 64y2 + -64y2
-120 + 188y + -64y2 = -192y + 192y + 64y2 + -64y2

Combine like terms: -192y + 192y = 0
-120 + 188y + -64y2 = 0 + 64y2 + -64y2
-120 + 188y + -64y2 = 64y2 + -64y2

Combine like terms: 64y2 + -64y2 = 0
-120 + 188y + -64y2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-30 + 47y + -16y2) = 0

Factor a trinomial.
4((-2 + y)(15 + -16y)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-2 + y)' equal to zero and attempt to solve:

Simplifying
-2 + y = 0

Solving
-2 + y = 0

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

Add '2' to each side of the equation.
-2 + 2 + y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + y = 0 + 2
y = 0 + 2

Combine like terms: 0 + 2 = 2
y = 2

Simplifying
y = 2

Subproblem 2
Set the factor '(15 + -16y)' equal to zero and attempt to solve:

Simplifying
15 + -16y = 0

Solving
15 + -16y = 0

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

Add '-15' to each side of the equation.
15 + -15 + -16y = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -16y = 0 + -15
-16y = 0 + -15

Combine like terms: 0 + -15 = -15
-16y = -15

Divide each side by '-16'.
y = 0.9375

Simplifying
y = 0.9375
Solution
y = {2, 0.9375}

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