(4y+4)(8y+7)=

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Solution for (4y+4)(8y+7)= equation: 


Simplifying
(4y + 4)(8y + 7) = 0

Reorder the terms:
(4 + 4y)(8y + 7) = 0

Reorder the terms:
(4 + 4y)(7 + 8y) = 0

Multiply (4 + 4y) * (7 + 8y)
(4(7 + 8y) + 4y * (7 + 8y)) = 0
((7 * 4 + 8y * 4) + 4y * (7 + 8y)) = 0
((28 + 32y) + 4y * (7 + 8y)) = 0
(28 + 32y + (7 * 4y + 8y * 4y)) = 0
(28 + 32y + (28y + 32y2)) = 0

Combine like terms: 32y + 28y = 60y
(28 + 60y + 32y2) = 0

Solving
28 + 60y + 32y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + 15y + 8y2) = 0

Factor a trinomial.
4((1 + y)(7 + 8y)) = 0

Ignore the factor 4.

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

Simplifying
1 + y = 0

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

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

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

Simplifying
y = -1

Subproblem 2
Set the factor '(7 + 8y)' equal to zero and attempt to solve:

Simplifying
7 + 8y = 0

Solving
7 + 8y = 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 + 8y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 8y = 0 + -7
8y = 0 + -7

Combine like terms: 0 + -7 = -7
8y = -7

Divide each side by '8'.
y = -0.875

Simplifying
y = -0.875
Solution
y = {-1, -0.875}

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