(9Y+11)(Y+9)=79

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Solution for (9Y+11)(Y+9)=79 equation: 


Simplifying
(9Y + 11)(Y + 9) = 79

Reorder the terms:
(11 + 9Y)(Y + 9) = 79

Reorder the terms:
(11 + 9Y)(9 + Y) = 79

Multiply (11 + 9Y) * (9 + Y)
(11(9 + Y) + 9Y * (9 + Y)) = 79
((9 * 11 + Y * 11) + 9Y * (9 + Y)) = 79
((99 + 11Y) + 9Y * (9 + Y)) = 79
(99 + 11Y + (9 * 9Y + Y * 9Y)) = 79
(99 + 11Y + (81Y + 9Y2)) = 79

Combine like terms: 11Y + 81Y = 92Y
(99 + 92Y + 9Y2) = 79

Solving
99 + 92Y + 9Y2 = 79

Solving for variable 'Y'.

Reorder the terms:
99 + -79 + 92Y + 9Y2 = 79 + -79

Combine like terms: 99 + -79 = 20
20 + 92Y + 9Y2 = 79 + -79

Combine like terms: 79 + -79 = 0
20 + 92Y + 9Y2 = 0

Factor a trinomial.
(10 + Y)(2 + 9Y) = 0


Subproblem 1
Set the factor '(10 + Y)' equal to zero and attempt to solve:

Simplifying
10 + Y = 0

Solving
10 + Y = 0

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

Add '-10' to each side of the equation.
10 + -10 + Y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + Y = 0 + -10
Y = 0 + -10

Combine like terms: 0 + -10 = -10
Y = -10

Simplifying
Y = -10

Subproblem 2
Set the factor '(2 + 9Y)' equal to zero and attempt to solve:

Simplifying
2 + 9Y = 0

Solving
2 + 9Y = 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 + 9Y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 9Y = 0 + -2
9Y = 0 + -2

Combine like terms: 0 + -2 = -2
9Y = -2

Divide each side by '9'.
Y = -0.2222222222

Simplifying
Y = -0.2222222222
Solution
Y = {-10, -0.2222222222}

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