(3-y)(4y-1)=0

Solution for (3-y)(4y-1)=0 equation:

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

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

Multiply (3 + -1y) * (-1 + 4y)
(3(-1 + 4y) + -1y * (-1 + 4y)) = 0
((-1 * 3 + 4y * 3) + -1y * (-1 + 4y)) = 0
((-3 + 12y) + -1y * (-1 + 4y)) = 0
(-3 + 12y + (-1 * -1y + 4y * -1y)) = 0
(-3 + 12y + (1y + -4y2)) = 0

Combine like terms: 12y + 1y = 13y
(-3 + 13y + -4y2) = 0

Solving
-3 + 13y + -4y2 = 0

Solving for variable 'y'.

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

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

Simplifying
-3 + y = 0

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

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

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

Simplifying
y = 3
Subproblem 2
Set the factor '(1 + -4y)' equal to zero and attempt to solve:

Simplifying
1 + -4y = 0

Solving
1 + -4y = 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 + -4y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4y = 0 + -1
-4y = 0 + -1

Combine like terms: 0 + -1 = -1
-4y = -1

Divide each side by '-4'.
y = 0.25

Simplifying
y = 0.25
Solution
y = {3, 0.25}