(4y-3)(7y-2)=

Solution for (4y-3)(7y-2)= equation:

Simplifying
(4y + -3)(7y + -2) = 0

Reorder the terms:
(-3 + 4y)(7y + -2) = 0

Reorder the terms:
(-3 + 4y)(-2 + 7y) = 0

Multiply (-3 + 4y) * (-2 + 7y)
(-3(-2 + 7y) + 4y * (-2 + 7y)) = 0
((-2 * -3 + 7y * -3) + 4y * (-2 + 7y)) = 0
((6 + -21y) + 4y * (-2 + 7y)) = 0
(6 + -21y + (-2 * 4y + 7y * 4y)) = 0
(6 + -21y + (-8y + 28y2)) = 0

Combine like terms: -21y + -8y = -29y
(6 + -29y + 28y2) = 0

Solving
6 + -29y + 28y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(2 + -7y)(3 + -4y) = 0

Subproblem 1
Set the factor '(2 + -7y)' equal to zero and attempt to solve:

Simplifying
2 + -7y = 0

Solving
2 + -7y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7y = 0 + -2
-7y = 0 + -2

Combine like terms: 0 + -2 = -2
-7y = -2

Divide each side by '-7'.
y = 0.2857142857

Simplifying
y = 0.2857142857
Subproblem 2
Set the factor '(3 + -4y)' equal to zero and attempt to solve:

Simplifying
3 + -4y = 0

Solving
3 + -4y = 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 + -4y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4y = 0 + -3
-4y = 0 + -3

Combine like terms: 0 + -3 = -3
-4y = -3

Divide each side by '-4'.
y = 0.75

Simplifying
y = 0.75
Solution
y = {0.2857142857, 0.75}