(2y-1)(3-7y)=

Solution for (2y-1)(3-7y)= equation:

Simplifying
(2y + -1)(3 + -7y) = 0

Reorder the terms:
(-1 + 2y)(3 + -7y) = 0

Multiply (-1 + 2y) * (3 + -7y)
(-1(3 + -7y) + 2y * (3 + -7y)) = 0
((3 * -1 + -7y * -1) + 2y * (3 + -7y)) = 0
((-3 + 7y) + 2y * (3 + -7y)) = 0
(-3 + 7y + (3 * 2y + -7y * 2y)) = 0
(-3 + 7y + (6y + -14y2)) = 0

Combine like terms: 7y + 6y = 13y
(-3 + 13y + -14y2) = 0

Solving
-3 + 13y + -14y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-1 + 2y)(3 + -7y) = 0

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 '(3 + -7y)' equal to zero and attempt to solve:

Simplifying
3 + -7y = 0

Solving
3 + -7y = 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 + -7y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7y = 0 + -3
-7y = 0 + -3

Combine like terms: 0 + -3 = -3
-7y = -3

Divide each side by '-7'.
y = 0.4285714286

Simplifying
y = 0.4285714286
Solution
y = {0.5, 0.4285714286}