(7y+6)(5y+y)=0

Solution for (7y+6)(5y+y)=0 equation:

Simplifying
(7y + 6)(5y + y) = 0

Reorder the terms:
(6 + 7y)(5y + y) = 0

Combine like terms: 5y + y = 6y
(6 + 7y)(6y) = 0

Remove parenthesis around (6y)
(6 + 7y) * 6y = 0

Reorder the terms for easier multiplication:
6y(6 + 7y) = 0
(6 * 6y + 7y * 6y) = 0
(36y + 42y2) = 0

Solving
36y + 42y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '6y'.
6y(6 + 7y) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0
Subproblem 2
Set the factor '(6 + 7y)' equal to zero and attempt to solve:

Simplifying
6 + 7y = 0

Solving
6 + 7y = 0

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

Add '-6' to each side of the equation.
6 + -6 + 7y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7y = 0 + -6
7y = 0 + -6

Combine like terms: 0 + -6 = -6
7y = -6

Divide each side by '7'.
y = -0.8571428571

Simplifying
y = -0.8571428571
Solution
y = {0, -0.8571428571}