6y^2+11y+5=(y+1)

Solution for 6y^2+11y+5=(y+1) equation:

Simplifying
6y2 + 11y + 5 = (y + 1)

Reorder the terms:
5 + 11y + 6y2 = (y + 1)

Reorder the terms:
5 + 11y + 6y2 = (1 + y)

Remove parenthesis around (1 + y)
5 + 11y + 6y2 = 1 + y

Solving
5 + 11y + 6y2 = 1 + y

Solving for variable 'y'.

Reorder the terms:
5 + -1 + 11y + -1y + 6y2 = 1 + y + -1 + -1y

Combine like terms: 5 + -1 = 4
4 + 11y + -1y + 6y2 = 1 + y + -1 + -1y

Combine like terms: 11y + -1y = 10y
4 + 10y + 6y2 = 1 + y + -1 + -1y

Reorder the terms:
4 + 10y + 6y2 = 1 + -1 + y + -1y

Combine like terms: 1 + -1 = 0
4 + 10y + 6y2 = 0 + y + -1y
4 + 10y + 6y2 = y + -1y

Combine like terms: y + -1y = 0
4 + 10y + 6y2 = 0

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

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

Ignore the factor 2.
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}