(4y-3)(7y-6)=

Solution for (4y-3)(7y-6)= equation:

Simplifying
(4y + -3)(7y + -6) = 0

Reorder the terms:
(-3 + 4y)(7y + -6) = 0

Reorder the terms:
(-3 + 4y)(-6 + 7y) = 0

Multiply (-3 + 4y) * (-6 + 7y)
(-3(-6 + 7y) + 4y * (-6 + 7y)) = 0
((-6 * -3 + 7y * -3) + 4y * (-6 + 7y)) = 0
((18 + -21y) + 4y * (-6 + 7y)) = 0
(18 + -21y + (-6 * 4y + 7y * 4y)) = 0
(18 + -21y + (-24y + 28y2)) = 0

Combine like terms: -21y + -24y = -45y
(18 + -45y + 28y2) = 0

Solving
18 + -45y + 28y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(3 + -4y)(6 + -7y) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(6 + -7y)' equal to zero and attempt to solve:

Simplifying
6 + -7y = 0

Solving
6 + -7y = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7y = 0 + -6
-7y = 0 + -6

Combine like terms: 0 + -6 = -6
-7y = -6

Divide each side by '-7'.
y = 0.8571428571

Simplifying
y = 0.8571428571
Solution
y = {0.75, 0.8571428571}