16=6y+y^2

Solution for 16=6y+y^2 equation:

Simplifying
16 = 6y + y2

Solving
16 = 6y + y2

Solving for variable 'y'.

Reorder the terms:
16 + -6y + -1y2 = 6y + -6y + y2 + -1y2

Combine like terms: 6y + -6y = 0
16 + -6y + -1y2 = 0 + y2 + -1y2
16 + -6y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
16 + -6y + -1y2 = 0

Factor a trinomial.
(2 + -1y)(8 + y) = 0

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

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Subproblem 2
Set the factor '(8 + y)' equal to zero and attempt to solve:

Simplifying
8 + y = 0

Solving
8 + y = 0

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

Add '-8' to each side of the equation.
8 + -8 + y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + y = 0 + -8
y = 0 + -8

Combine like terms: 0 + -8 = -8
y = -8

Simplifying
y = -8
Solution
y = {2, -8}