(-4-4y+11)(3y-12)=

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Solution for (-4-4y+11)(3y-12)= equation: 


Simplifying
(-4 + -4y + 11)(3y + -12) = 0

Reorder the terms:
(-4 + 11 + -4y)(3y + -12) = 0

Combine like terms: -4 + 11 = 7
(7 + -4y)(3y + -12) = 0

Reorder the terms:
(7 + -4y)(-12 + 3y) = 0

Multiply (7 + -4y) * (-12 + 3y)
(7(-12 + 3y) + -4y * (-12 + 3y)) = 0
((-12 * 7 + 3y * 7) + -4y * (-12 + 3y)) = 0
((-84 + 21y) + -4y * (-12 + 3y)) = 0
(-84 + 21y + (-12 * -4y + 3y * -4y)) = 0
(-84 + 21y + (48y + -12y2)) = 0

Combine like terms: 21y + 48y = 69y
(-84 + 69y + -12y2) = 0

Solving
-84 + 69y + -12y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-28 + 23y + -4y2) = 0

Factor a trinomial.
3((-4 + y)(7 + -4y)) = 0

Ignore the factor 3.

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

Simplifying
-4 + y = 0

Solving
-4 + y = 0

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

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

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

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

Simplifying
y = 4

Subproblem 2
Set the factor '(7 + -4y)' equal to zero and attempt to solve:

Simplifying
7 + -4y = 0

Solving
7 + -4y = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4y = 0 + -7
-4y = 0 + -7

Combine like terms: 0 + -7 = -7
-4y = -7

Divide each side by '-4'.
y = 1.75

Simplifying
y = 1.75
Solution
y = {4, 1.75}

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