(1+5y)y=6

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

Simplifying
(1 + 5y) * y = 6

Reorder the terms for easier multiplication:
y(1 + 5y) = 6
(1 * y + 5y * y) = 6
(1y + 5y2) = 6

Solving
1y + 5y2 = 6

Solving for variable 'y'.

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

Combine like terms: 6 + -6 = 0
-6 + 1y + 5y2 = 0

Factor a trinomial.
(-6 + -5y)(1 + -1y) = 0

Subproblem 1
Set the factor '(-6 + -5y)' equal to zero and attempt to solve:

Simplifying
-6 + -5y = 0

Solving
-6 + -5y = 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 + -5y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5y = 0 + 6
-5y = 0 + 6

Combine like terms: 0 + 6 = 6
-5y = 6

Divide each side by '-5'.
y = -1.2

Simplifying
y = -1.2
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 = {-1.2, 1}