(4y-6)(8+y)=0

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Solution for (4y-6)(8+y)=0 equation: 


Simplifying
(4y + -6)(8 + y) = 0

Reorder the terms:
(-6 + 4y)(8 + y) = 0

Multiply (-6 + 4y) * (8 + y)
(-6(8 + y) + 4y * (8 + y)) = 0
((8 * -6 + y * -6) + 4y * (8 + y)) = 0
((-48 + -6y) + 4y * (8 + y)) = 0
(-48 + -6y + (8 * 4y + y * 4y)) = 0
(-48 + -6y + (32y + 4y2)) = 0

Combine like terms: -6y + 32y = 26y
(-48 + 26y + 4y2) = 0

Solving
-48 + 26y + 4y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + 13y + 2y2) = 0

Factor a trinomial.
2((-8 + -1y)(3 + -2y)) = 0

Ignore the factor 2.

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 '(3 + -2y)' equal to zero and attempt to solve:

Simplifying
3 + -2y = 0

Solving
3 + -2y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2y = 0 + -3
-2y = 0 + -3

Combine like terms: 0 + -3 = -3
-2y = -3

Divide each side by '-2'.
y = 1.5

Simplifying
y = 1.5
Solution
y = {-8, 1.5}

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