0=(y+8)(5y-6)

Solution for 0=(y+8)(5y-6) equation:

Simplifying
0 = (y + 8)(5y + -6)

Reorder the terms:
0 = (8 + y)(5y + -6)

Reorder the terms:
0 = (8 + y)(-6 + 5y)

Multiply (8 + y) * (-6 + 5y)
0 = (8(-6 + 5y) + y(-6 + 5y))
0 = ((-6 * 8 + 5y * 8) + y(-6 + 5y))
0 = ((-48 + 40y) + y(-6 + 5y))
0 = (-48 + 40y + (-6 * y + 5y * y))
0 = (-48 + 40y + (-6y + 5y2))

Combine like terms: 40y + -6y = 34y
0 = (-48 + 34y + 5y2)

Solving
0 = -48 + 34y + 5y2

Solving for variable 'y'.

Combine like terms: 0 + 48 = 48
48 + -34y + -5y2 = -48 + 34y + 5y2 + 48 + -34y + -5y2

Reorder the terms:
48 + -34y + -5y2 = -48 + 48 + 34y + -34y + 5y2 + -5y2

Combine like terms: -48 + 48 = 0
48 + -34y + -5y2 = 0 + 34y + -34y + 5y2 + -5y2
48 + -34y + -5y2 = 34y + -34y + 5y2 + -5y2

Combine like terms: 34y + -34y = 0
48 + -34y + -5y2 = 0 + 5y2 + -5y2
48 + -34y + -5y2 = 5y2 + -5y2

Combine like terms: 5y2 + -5y2 = 0
48 + -34y + -5y2 = 0

Factor a trinomial.
(6 + -5y)(8 + y) = 0

Subproblem 1
Set the factor '(6 + -5y)' equal to zero and attempt to solve:

Simplifying
6 + -5y = 0

Solving
6 + -5y = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5y = 0 + -6
-5y = 0 + -6

Combine like terms: 0 + -6 = -6
-5y = -6

Divide each side by '-5'.
y = 1.2

Simplifying
y = 1.2
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 = {1.2, -8}