12y-11=y^2

Solution for 12y-11=y^2 equation:

Simplifying
12y + -11 = y2

Reorder the terms:
-11 + 12y = y2

Solving
-11 + 12y = y2

Solving for variable 'y'.

Combine like terms: y2 + -1y2 = 0
-11 + 12y + -1y2 = 0

Factor a trinomial.
(-11 + y)(1 + -1y) = 0

Subproblem 1
Set the factor '(-11 + y)' equal to zero and attempt to solve:

Simplifying
-11 + y = 0

Solving
-11 + y = 0

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

Add '11' to each side of the equation.
-11 + 11 + y = 0 + 11

Combine like terms: -11 + 11 = 0
0 + y = 0 + 11
y = 0 + 11

Combine like terms: 0 + 11 = 11
y = 11

Simplifying
y = 11
Subproblem 2
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
Solution
y = {11, 1}