5-3a=5(ya+2)-5

Solution for 5-3a=5(ya+2)-5 equation:

Simplifying
5 + -3a = 5(ya + 2) + -5

Reorder the terms:
5 + -3a = 5(2 + ay) + -5
5 + -3a = (2 * 5 + ay * 5) + -5
5 + -3a = (10 + 5ay) + -5

Reorder the terms:
5 + -3a = 10 + -5 + 5ay

Combine like terms: 10 + -5 = 5
5 + -3a = 5 + 5ay

Add '-5' to each side of the equation.
5 + -5 + -3a = 5 + -5 + 5ay

Combine like terms: 5 + -5 = 0
0 + -3a = 5 + -5 + 5ay
-3a = 5 + -5 + 5ay

Combine like terms: 5 + -5 = 0
-3a = 0 + 5ay
-3a = 5ay

Solving
-3a = 5ay

Solving for variable 'a'.

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

Add '-5ay' to each side of the equation.
-3a + -5ay = 5ay + -5ay

Combine like terms: 5ay + -5ay = 0
-3a + -5ay = 0

Factor out the Greatest Common Factor (GCF), '-1a'.
-1a(3 + 5y) = 0

Ignore the factor -1.
Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(3 + 5y)' equal to zero and attempt to solve:

Simplifying
3 + 5y = 0

Solving
3 + 5y = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5y = 0 + -3
5y = 0 + -3

Combine like terms: 0 + -3 = -3
5y = -3

Add '-5y' to each side of the equation.
5y + -5y = -3 + -5y

Combine like terms: 5y + -5y = 0
0 = -3 + -5y

Simplifying
0 = -3 + -5y

The solution to this equation could not be determined.

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