(4y+3)(8y-1)=

Solution for (4y+3)(8y-1)= equation:

Simplifying
(4y + 3)(8y + -1) = 0

Reorder the terms:
(3 + 4y)(8y + -1) = 0

Reorder the terms:
(3 + 4y)(-1 + 8y) = 0

Multiply (3 + 4y) * (-1 + 8y)
(3(-1 + 8y) + 4y * (-1 + 8y)) = 0
((-1 * 3 + 8y * 3) + 4y * (-1 + 8y)) = 0
((-3 + 24y) + 4y * (-1 + 8y)) = 0
(-3 + 24y + (-1 * 4y + 8y * 4y)) = 0
(-3 + 24y + (-4y + 32y2)) = 0

Combine like terms: 24y + -4y = 20y
(-3 + 20y + 32y2) = 0

Solving
-3 + 20y + 32y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-3 + -4y)(1 + -8y) = 0

Subproblem 1
Set the factor '(-3 + -4y)' equal to zero and attempt to solve:

Simplifying
-3 + -4y = 0

Solving
-3 + -4y = 0

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

Add '3' to each side of the equation.
-3 + 3 + -4y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4y = 0 + 3
-4y = 0 + 3

Combine like terms: 0 + 3 = 3
-4y = 3

Divide each side by '-4'.
y = -0.75

Simplifying
y = -0.75
Subproblem 2
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
Solution
y = {-0.75, 0.125}