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

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

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

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

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

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

Combine like terms: -1y + 3y = 2y
(-1 + 2y + 3y2) = 0

Solving
-1 + 2y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-1 + -1y)(1 + -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 '(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
Solution
y = {-1, 0.3333333333}