y^2-9y-11=-4y-5

Solution for y^2-9y-11=-4y-5 equation:

Simplifying
y2 + -9y + -11 = -4y + -5

Reorder the terms:
-11 + -9y + y2 = -4y + -5

Reorder the terms:
-11 + -9y + y2 = -5 + -4y

Solving
-11 + -9y + y2 = -5 + -4y

Solving for variable 'y'.

Reorder the terms:
-11 + 5 + -9y + 4y + y2 = -5 + -4y + 5 + 4y

Combine like terms: -11 + 5 = -6
-6 + -9y + 4y + y2 = -5 + -4y + 5 + 4y

Combine like terms: -9y + 4y = -5y
-6 + -5y + y2 = -5 + -4y + 5 + 4y

Reorder the terms:
-6 + -5y + y2 = -5 + 5 + -4y + 4y

Combine like terms: -5 + 5 = 0
-6 + -5y + y2 = 0 + -4y + 4y
-6 + -5y + y2 = -4y + 4y

Combine like terms: -4y + 4y = 0
-6 + -5y + y2 = 0

Factor a trinomial.
(-1 + -1y)(6 + -1y) = 0

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

Simplifying
-1 + -1y = 0

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

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

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

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

Simplifying
y = -1
Subproblem 2
Set the factor '(6 + -1y)' equal to zero and attempt to solve:

Simplifying
6 + -1y = 0

Solving
6 + -1y = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 0 + -6
-1y = 0 + -6

Combine like terms: 0 + -6 = -6
-1y = -6

Divide each side by '-1'.
y = 6

Simplifying
y = 6
Solution
y = {-1, 6}