-24+23y=-y^2

Solution for -24+23y=-y^2 equation:

Simplifying
-24 + 23y = -1y2

Solving
-24 + 23y = -1y2

Solving for variable 'y'.

Combine like terms: -1y2 + y2 = 0
-24 + 23y + y2 = 0

Factor a trinomial.
(-24 + -1y)(1 + -1y) = 0

Subproblem 1
Set the factor '(-24 + -1y)' equal to zero and attempt to solve:

Simplifying
-24 + -1y = 0

Solving
-24 + -1y = 0

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

Add '24' to each side of the equation.
-24 + 24 + -1y = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -1y = 0 + 24
-1y = 0 + 24

Combine like terms: 0 + 24 = 24
-1y = 24

Divide each side by '-1'.
y = -24

Simplifying
y = -24
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 = {-24, 1}