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

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

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

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

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

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

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

Solving
3 + -13y + 14y2 = 0

Solving for variable 'y'.

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

Subproblem 1
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
Subproblem 2
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
Solution
y = {0.4285714286, 0.5}