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

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

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

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

Combine like terms: 2y + 3y = 5y
0 = (2 + 5y + 3y2)

Solving
0 = 2 + 5y + 3y2

Solving for variable 'y'.

Combine like terms: 0 + -2 = -2
-2 + -5y + -3y2 = 2 + 5y + 3y2 + -2 + -5y + -3y2

Reorder the terms:
-2 + -5y + -3y2 = 2 + -2 + 5y + -5y + 3y2 + -3y2

Combine like terms: 2 + -2 = 0
-2 + -5y + -3y2 = 0 + 5y + -5y + 3y2 + -3y2
-2 + -5y + -3y2 = 5y + -5y + 3y2 + -3y2

Combine like terms: 5y + -5y = 0
-2 + -5y + -3y2 = 0 + 3y2 + -3y2
-2 + -5y + -3y2 = 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
-2 + -5y + -3y2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2 + 5y + 3y2) = 0

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

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

Simplifying
1 + y = 0

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

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

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

Simplifying
y = -1
Subproblem 2
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
Solution
y = {-1, -0.6666666667}