(4y+11)(6y-2y-8)=

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Solution for (4y+11)(6y-2y-8)= equation: 


Simplifying
(4y + 11)(6y + -2y + -8) = 0

Reorder the terms:
(11 + 4y)(6y + -2y + -8) = 0

Reorder the terms:
(11 + 4y)(-8 + 6y + -2y) = 0

Combine like terms: 6y + -2y = 4y
(11 + 4y)(-8 + 4y) = 0

Multiply (11 + 4y) * (-8 + 4y)
(11(-8 + 4y) + 4y * (-8 + 4y)) = 0
((-8 * 11 + 4y * 11) + 4y * (-8 + 4y)) = 0
((-88 + 44y) + 4y * (-8 + 4y)) = 0
(-88 + 44y + (-8 * 4y + 4y * 4y)) = 0
(-88 + 44y + (-32y + 16y2)) = 0

Combine like terms: 44y + -32y = 12y
(-88 + 12y + 16y2) = 0

Solving
-88 + 12y + 16y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-22 + 3y + 4y2) = 0

Factor a trinomial.
4((-11 + -4y)(2 + -1y)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-11 + -4y)' equal to zero and attempt to solve:

Simplifying
-11 + -4y = 0

Solving
-11 + -4y = 0

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

Add '11' to each side of the equation.
-11 + 11 + -4y = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -4y = 0 + 11
-4y = 0 + 11

Combine like terms: 0 + 11 = 11
-4y = 11

Divide each side by '-4'.
y = -2.75

Simplifying
y = -2.75

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

Simplifying
2 + -1y = 0

Solving
2 + -1y = 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 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {-2.75, 2}

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