12abs(.5y+3)=6

Solution for 12abs(.5y+3)=6 equation:

Simplifying
12abs(0.5y + 3) = 6

Reorder the terms:
12abs(3 + 0.5y) = 6
(3 * 12abs + 0.5y * 12abs) = 6
(36abs + 6absy) = 6

Solving
36abs + 6absy = 6

Solving for variable 'a'.

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

Reorder the terms:
-6 + 36abs + 6absy = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 36abs + 6absy = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-1 + 6abs + absy) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-1 + 6abs + absy)' equal to zero and attempt to solve:

Simplifying
-1 + 6abs + absy = 0

Solving
-1 + 6abs + absy = 0

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

Add '1' to each side of the equation.
-1 + 6abs + 1 + absy = 0 + 1

Reorder the terms:
-1 + 1 + 6abs + absy = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 6abs + absy = 0 + 1
6abs + absy = 0 + 1

Combine like terms: 0 + 1 = 1
6abs + absy = 1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.