-21=-10y+y^2

Solution for -21=-10y+y^2 equation:

Simplifying
-21 = -10y + y2

Solving
-21 = -10y + y2

Solving for variable 'y'.

Reorder the terms:
-21 + 10y + -1y2 = -10y + 10y + y2 + -1y2

Combine like terms: -10y + 10y = 0
-21 + 10y + -1y2 = 0 + y2 + -1y2
-21 + 10y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-21 + 10y + -1y2 = 0

Factor a trinomial.
(-7 + y)(3 + -1y) = 0

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

Simplifying
-7 + y = 0

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

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

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

Simplifying
y = 7
Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3
Solution
y = {7, 3}