(8+y)(4y-1)=0

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Solution for (8+y)(4y-1)=0 equation: 


Simplifying
(8 + y)(4y + -1) = 0

Reorder the terms:
(8 + y)(-1 + 4y) = 0

Multiply (8 + y) * (-1 + 4y)
(8(-1 + 4y) + y(-1 + 4y)) = 0
((-1 * 8 + 4y * 8) + y(-1 + 4y)) = 0
((-8 + 32y) + y(-1 + 4y)) = 0
(-8 + 32y + (-1 * y + 4y * y)) = 0
(-8 + 32y + (-1y + 4y2)) = 0

Combine like terms: 32y + -1y = 31y
(-8 + 31y + 4y2) = 0

Solving
-8 + 31y + 4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + -1y)(1 + -4y) = 0


Subproblem 1
Set the factor '(-8 + -1y)' equal to zero and attempt to solve:

Simplifying
-8 + -1y = 0

Solving
-8 + -1y = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1y = 0 + 8
-1y = 0 + 8

Combine like terms: 0 + 8 = 8
-1y = 8

Divide each side by '-1'.
y = -8

Simplifying
y = -8

Subproblem 2
Set the factor '(1 + -4y)' equal to zero and attempt to solve:

Simplifying
1 + -4y = 0

Solving
1 + -4y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4y = 0 + -1

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

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

Divide each side by '-4'.
y = 0.25

Simplifying
y = 0.25
Solution
y = {-8, 0.25}

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