(y+11)(y+4)=198

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Solution for (y+11)(y+4)=198 equation: 


Simplifying
(y + 11)(y + 4) = 198

Reorder the terms:
(11 + y)(y + 4) = 198

Reorder the terms:
(11 + y)(4 + y) = 198

Multiply (11 + y) * (4 + y)
(11(4 + y) + y(4 + y)) = 198
((4 * 11 + y * 11) + y(4 + y)) = 198
((44 + 11y) + y(4 + y)) = 198
(44 + 11y + (4 * y + y * y)) = 198
(44 + 11y + (4y + y2)) = 198

Combine like terms: 11y + 4y = 15y
(44 + 15y + y2) = 198

Solving
44 + 15y + y2 = 198

Solving for variable 'y'.

Reorder the terms:
44 + -198 + 15y + y2 = 198 + -198

Combine like terms: 44 + -198 = -154
-154 + 15y + y2 = 198 + -198

Combine like terms: 198 + -198 = 0
-154 + 15y + y2 = 0

Factor a trinomial.
(-22 + -1y)(7 + -1y) = 0


Subproblem 1
Set the factor '(-22 + -1y)' equal to zero and attempt to solve:

Simplifying
-22 + -1y = 0

Solving
-22 + -1y = 0

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

Add '22' to each side of the equation.
-22 + 22 + -1y = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -1y = 0 + 22
-1y = 0 + 22

Combine like terms: 0 + 22 = 22
-1y = 22

Divide each side by '-1'.
y = -22

Simplifying
y = -22

Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve:

Simplifying
7 + -1y = 0

Solving
7 + -1y = 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 + -1y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 0 + -7
-1y = 0 + -7

Combine like terms: 0 + -7 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7
Solution
y = {-22, 7}

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