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

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

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

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

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

Multiply (-3 + 2y) * (-1 + 7y)
(-3(-1 + 7y) + 2y * (-1 + 7y)) = 0
((-1 * -3 + 7y * -3) + 2y * (-1 + 7y)) = 0
((3 + -21y) + 2y * (-1 + 7y)) = 0
(3 + -21y + (-1 * 2y + 7y * 2y)) = 0
(3 + -21y + (-2y + 14y2)) = 0

Combine like terms: -21y + -2y = -23y
(3 + -23y + 14y2) = 0

Solving
3 + -23y + 14y2 = 0

Solving for variable 'y'.

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

Subproblem 1
Set the factor '(1 + -7y)' equal to zero and attempt to solve:

Simplifying
1 + -7y = 0

Solving
1 + -7y = 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 + -7y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7y = 0 + -1
-7y = 0 + -1

Combine like terms: 0 + -1 = -1
-7y = -1

Divide each side by '-7'.
y = 0.1428571429

Simplifying
y = 0.1428571429
Subproblem 2
Set the factor '(3 + -2y)' equal to zero and attempt to solve:

Simplifying
3 + -2y = 0

Solving
3 + -2y = 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 + -2y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2y = 0 + -3
-2y = 0 + -3

Combine like terms: 0 + -3 = -3
-2y = -3

Divide each side by '-2'.
y = 1.5

Simplifying
y = 1.5
Solution
y = {0.1428571429, 1.5}