(2y-1)(8y-3)=

Solution for (2y-1)(8y-3)= equation:

Simplifying
(2y + -1)(8y + -3) = 0

Reorder the terms:
(-1 + 2y)(8y + -3) = 0

Reorder the terms:
(-1 + 2y)(-3 + 8y) = 0

Multiply (-1 + 2y) * (-3 + 8y)
(-1(-3 + 8y) + 2y * (-3 + 8y)) = 0
((-3 * -1 + 8y * -1) + 2y * (-3 + 8y)) = 0
((3 + -8y) + 2y * (-3 + 8y)) = 0
(3 + -8y + (-3 * 2y + 8y * 2y)) = 0
(3 + -8y + (-6y + 16y2)) = 0

Combine like terms: -8y + -6y = -14y
(3 + -14y + 16y2) = 0

Solving
3 + -14y + 16y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(3 + -8y)(1 + -2y) = 0

Subproblem 1
Set the factor '(3 + -8y)' equal to zero and attempt to solve:

Simplifying
3 + -8y = 0

Solving
3 + -8y = 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 + -8y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8y = 0 + -3
-8y = 0 + -3

Combine like terms: 0 + -3 = -3
-8y = -3

Divide each side by '-8'.
y = 0.375

Simplifying
y = 0.375
Subproblem 2
Set the factor '(1 + -2y)' equal to zero and attempt to solve:

Simplifying
1 + -2y = 0

Solving
1 + -2y = 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 + -2y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2y = 0 + -1
-2y = 0 + -1

Combine like terms: 0 + -1 = -1
-2y = -1

Divide each side by '-2'.
y = 0.5

Simplifying
y = 0.5
Solution
y = {0.375, 0.5}