(3y-5)(8y+1)=

Solution for (3y-5)(8y+1)= equation:

Simplifying
(3y + -5)(8y + 1) = 0

Reorder the terms:
(-5 + 3y)(8y + 1) = 0

Reorder the terms:
(-5 + 3y)(1 + 8y) = 0

Multiply (-5 + 3y) * (1 + 8y)
(-5(1 + 8y) + 3y * (1 + 8y)) = 0
((1 * -5 + 8y * -5) + 3y * (1 + 8y)) = 0
((-5 + -40y) + 3y * (1 + 8y)) = 0
(-5 + -40y + (1 * 3y + 8y * 3y)) = 0
(-5 + -40y + (3y + 24y2)) = 0

Combine like terms: -40y + 3y = -37y
(-5 + -37y + 24y2) = 0

Solving
-5 + -37y + 24y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-1 + -8y)(5 + -3y) = 0

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

Simplifying
-1 + -8y = 0

Solving
-1 + -8y = 0

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

Add '1' to each side of the equation.
-1 + 1 + -8y = 0 + 1

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

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

Divide each side by '-8'.
y = -0.125

Simplifying
y = -0.125
Subproblem 2
Set the factor '(5 + -3y)' equal to zero and attempt to solve:

Simplifying
5 + -3y = 0

Solving
5 + -3y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3y = 0 + -5
-3y = 0 + -5

Combine like terms: 0 + -5 = -5
-3y = -5

Divide each side by '-3'.
y = 1.666666667

Simplifying
y = 1.666666667
Solution
y = {-0.125, 1.666666667}