88=(5+2y)*y

Solution for 88=(5+2y)*y equation:

Simplifying
88 = (5 + 2y) * y

Reorder the terms for easier multiplication:
88 = y(5 + 2y)
88 = (5 * y + 2y * y)
88 = (5y + 2y2)

Solving
88 = 5y + 2y2

Solving for variable 'y'.

Reorder the terms:
88 + -5y + -2y2 = 5y + -5y + 2y2 + -2y2

Combine like terms: 5y + -5y = 0
88 + -5y + -2y2 = 0 + 2y2 + -2y2
88 + -5y + -2y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
88 + -5y + -2y2 = 0

Factor a trinomial.
(11 + -2y)(8 + y) = 0

Subproblem 1
Set the factor '(11 + -2y)' equal to zero and attempt to solve:

Simplifying
11 + -2y = 0

Solving
11 + -2y = 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 + -2y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2y = 0 + -11
-2y = 0 + -11

Combine like terms: 0 + -11 = -11
-2y = -11

Divide each side by '-2'.
y = 5.5

Simplifying
y = 5.5
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 = {5.5, -8}