(3y+2)(y-1)=0

Solution for (3y+2)(y-1)=0 equation:

Simplifying
(3y + 2)(y + -1) = 0

Reorder the terms:
(2 + 3y)(y + -1) = 0

Reorder the terms:
(2 + 3y)(-1 + y) = 0

Multiply (2 + 3y) * (-1 + y)
(2(-1 + y) + 3y * (-1 + y)) = 0
((-1 * 2 + y * 2) + 3y * (-1 + y)) = 0
((-2 + 2y) + 3y * (-1 + y)) = 0
(-2 + 2y + (-1 * 3y + y * 3y)) = 0
(-2 + 2y + (-3y + 3y2)) = 0

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

Solving
-2 + -1y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-2 + -3y)(1 + -1y) = 0

Subproblem 1
Set the factor '(-2 + -3y)' equal to zero and attempt to solve:

Simplifying
-2 + -3y = 0

Solving
-2 + -3y = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3y = 0 + 2
-3y = 0 + 2

Combine like terms: 0 + 2 = 2
-3y = 2

Divide each side by '-3'.
y = -0.6666666667

Simplifying
y = -0.6666666667
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 = {-0.6666666667, 1}