(y-6)(4y-1)=

Solution for (y-6)(4y-1)= equation:

Simplifying
(y + -6)(4y + -1) = 0

Reorder the terms:
(-6 + y)(4y + -1) = 0

Reorder the terms:
(-6 + y)(-1 + 4y) = 0

Multiply (-6 + y) * (-1 + 4y)
(-6(-1 + 4y) + y(-1 + 4y)) = 0
((-1 * -6 + 4y * -6) + y(-1 + 4y)) = 0
((6 + -24y) + y(-1 + 4y)) = 0
(6 + -24y + (-1 * y + 4y * y)) = 0
(6 + -24y + (-1y + 4y2)) = 0

Combine like terms: -24y + -1y = -25y
(6 + -25y + 4y2) = 0

Solving
6 + -25y + 4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -4y)(6 + -1y) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(6 + -1y)' equal to zero and attempt to solve:

Simplifying
6 + -1y = 0

Solving
6 + -1y = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 0 + -6
-1y = 0 + -6

Combine like terms: 0 + -6 = -6
-1y = -6

Divide each side by '-1'.
y = 6

Simplifying
y = 6
Solution
y = {0.25, 6}