5y+10=5(2+ay)

Solution for 5y+10=5(2+ay) equation:

Simplifying
5y + 10 = 5(2 + ay)

Reorder the terms:
10 + 5y = 5(2 + ay)
10 + 5y = (2 * 5 + ay * 5)
10 + 5y = (10 + 5ay)

Add '-10' to each side of the equation.
10 + -10 + 5y = 10 + -10 + 5ay

Combine like terms: 10 + -10 = 0
0 + 5y = 10 + -10 + 5ay
5y = 10 + -10 + 5ay

Combine like terms: 10 + -10 = 0
5y = 0 + 5ay
5y = 5ay

Solving
5y = 5ay

Solving for variable 'y'.

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

Add '-5ay' to each side of the equation.
-5ay + 5y = 5ay + -5ay

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

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

Ignore the factor 5.
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 '(-1a + 1)' equal to zero and attempt to solve:

Simplifying
-1a + 1 = 0

Reorder the terms:
1 + -1a = 0

Solving
1 + -1a = 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 + -1a = 0 + -1

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

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

Add 'a' to each side of the equation.
-1a + a = -1 + a

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

Simplifying
0 = -1 + a

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}