ys=s

Solution for ys=s equation:

Simplifying
ys = s

Solving
sy = s

Solving for variable 's'.

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

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

Combine like terms: s + -1s = 0
-1s + sy = 0

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

Subproblem 1
Set the factor 's' equal to zero and attempt to solve:

Simplifying
s = 0

Solving
s = 0

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

Simplifying
s = 0
Subproblem 2
Set the factor '(-1 + y)' equal to zero and attempt to solve:

Simplifying
-1 + y = 0

Solving
-1 + y = 0

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

Add '1' to each side of the equation.
-1 + 1 + y = 0 + 1

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

Combine like terms: 0 + 1 = 1
y = 1

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

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

Simplifying
0 = 1 + -1y

The solution to this equation could not be determined.

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