(4y-3)(3y+1)=

Solution for (4y-3)(3y+1)= equation:

Simplifying
(4y + -3)(3y + 1) = 0

Reorder the terms:
(-3 + 4y)(3y + 1) = 0

Reorder the terms:
(-3 + 4y)(1 + 3y) = 0

Multiply (-3 + 4y) * (1 + 3y)
(-3(1 + 3y) + 4y * (1 + 3y)) = 0
((1 * -3 + 3y * -3) + 4y * (1 + 3y)) = 0
((-3 + -9y) + 4y * (1 + 3y)) = 0
(-3 + -9y + (1 * 4y + 3y * 4y)) = 0
(-3 + -9y + (4y + 12y2)) = 0

Combine like terms: -9y + 4y = -5y
(-3 + -5y + 12y2) = 0

Solving
-3 + -5y + 12y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-1 + -3y)(3 + -4y) = 0

Subproblem 1
Set the factor '(-1 + -3y)' equal to zero and attempt to solve:

Simplifying
-1 + -3y = 0

Solving
-1 + -3y = 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 + -3y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3y = 0 + 1
-3y = 0 + 1

Combine like terms: 0 + 1 = 1
-3y = 1

Divide each side by '-3'.
y = -0.3333333333

Simplifying
y = -0.3333333333
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 = {-0.3333333333, 0.75}