3r(y-1)=

Solution for 3r(y-1)= equation:

Simplifying
3r(y + -1) = 0

Reorder the terms:
3r(-1 + y) = 0
(-1 * 3r + y * 3r) = 0
(-3r + 3ry) = 0

Solving
-3r + 3ry = 0

Solving for variable 'r'.

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

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

Ignore the factor 3.
Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 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 r 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
r = {0}