y(y+6)=16

Solution for y(y+6)=16 equation:

Simplifying
y(y + 6) = 16

Reorder the terms:
y(6 + y) = 16
(6 * y + y * y) = 16
(6y + y2) = 16

Solving
6y + y2 = 16

Solving for variable 'y'.

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

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

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

Subproblem 1
Set the factor '(-8 + -1y)' equal to zero and attempt to solve:

Simplifying
-8 + -1y = 0

Solving
-8 + -1y = 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 + -1y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1y = 0 + 8
-1y = 0 + 8

Combine like terms: 0 + 8 = 8
-1y = 8

Divide each side by '-1'.
y = -8

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