(10+8y)y=y

Solution for (10+8y)y=y equation:

Simplifying
(10 + 8y) * y = y

Reorder the terms for easier multiplication:
y(10 + 8y) = y
(10 * y + 8y * y) = y
(10y + 8y2) = y

Solving
10y + 8y2 = y

Solving for variable 'y'.

Reorder the terms:
10y + -1y + 8y2 = y + -1y

Combine like terms: 10y + -1y = 9y
9y + 8y2 = y + -1y

Combine like terms: y + -1y = 0
9y + 8y2 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(9 + 8y) = 0

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 '(9 + 8y)' equal to zero and attempt to solve:

Simplifying
9 + 8y = 0

Solving
9 + 8y = 0

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

Add '-9' to each side of the equation.
9 + -9 + 8y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 8y = 0 + -9
8y = 0 + -9

Combine like terms: 0 + -9 = -9
8y = -9

Divide each side by '8'.
y = -1.125

Simplifying
y = -1.125
Solution
y = {0, -1.125}