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

Solution for (3y-4)(1-y)=0 equation:

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

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

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

Combine like terms: 4y + 3y = 7y
(-4 + 7y + -3y2) = 0

Solving
-4 + 7y + -3y2 = 0

Solving for variable 'y'.

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

Subproblem 1
Set the factor '(-4 + 3y)' equal to zero and attempt to solve:

Simplifying
-4 + 3y = 0

Solving
-4 + 3y = 0

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

Add '4' to each side of the equation.
-4 + 4 + 3y = 0 + 4

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

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

Divide each side by '3'.
y = 1.333333333

Simplifying
y = 1.333333333
Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

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

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

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

Divide each side by '-1'.
y = 1

Simplifying
y = 1
Solution
y = {1.333333333, 1}