(2y-1)(2y+4y-3)=

Solution for (2y-1)(2y+4y-3)= equation:

Simplifying
(2y + -1)(2y + 4y + -3) = 0

Reorder the terms:
(-1 + 2y)(2y + 4y + -3) = 0

Reorder the terms:
(-1 + 2y)(-3 + 2y + 4y) = 0

Combine like terms: 2y + 4y = 6y
(-1 + 2y)(-3 + 6y) = 0

Multiply (-1 + 2y) * (-3 + 6y)
(-1(-3 + 6y) + 2y * (-3 + 6y)) = 0
((-3 * -1 + 6y * -1) + 2y * (-3 + 6y)) = 0
((3 + -6y) + 2y * (-3 + 6y)) = 0
(3 + -6y + (-3 * 2y + 6y * 2y)) = 0
(3 + -6y + (-6y + 12y2)) = 0

Combine like terms: -6y + -6y = -12y
(3 + -12y + 12y2) = 0

Solving
3 + -12y + 12y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + -4y + 4y2) = 0

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

Ignore the factor 3.
Subproblem 1
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
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 = {0.5, 0.5}