2(5y-1)(y-3)=

Solution for 2(5y-1)(y-3)= equation:

Simplifying
2(5y + -1)(y + -3) = 0

Reorder the terms:
2(-1 + 5y)(y + -3) = 0

Reorder the terms:
2(-1 + 5y)(-3 + y) = 0

Multiply (-1 + 5y) * (-3 + y)
2(-1(-3 + y) + 5y * (-3 + y)) = 0
2((-3 * -1 + y * -1) + 5y * (-3 + y)) = 0
2((3 + -1y) + 5y * (-3 + y)) = 0
2(3 + -1y + (-3 * 5y + y * 5y)) = 0
2(3 + -1y + (-15y + 5y2)) = 0

Combine like terms: -1y + -15y = -16y
2(3 + -16y + 5y2) = 0
(3 * 2 + -16y * 2 + 5y2 * 2) = 0
(6 + -32y + 10y2) = 0

Solving
6 + -32y + 10y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -16y + 5y2) = 0

Factor a trinomial.
2((1 + -5y)(3 + -1y)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -5y)' equal to zero and attempt to solve:

Simplifying
1 + -5y = 0

Solving
1 + -5y = 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 + -5y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5y = 0 + -1
-5y = 0 + -1

Combine like terms: 0 + -1 = -1
-5y = -1

Divide each side by '-5'.
y = 0.2

Simplifying
y = 0.2
Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 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 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3
Solution
y = {0.2, 3}