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

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

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

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

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

Combine like terms: 3y + -4y = -1y
(4 + -1y + -3y2) = 0

Solving
4 + -1y + -3y2 = 0

Solving for variable 'y'.

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

Subproblem 1
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
Subproblem 2
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
Solution
y = {1, -1.333333333}