2abs(2y-6)+4=8

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Solution for 2abs(2y-6)+4=8 equation:


Simplifying
2abs(2y + -6) + 4 = 8

Reorder the terms:
2abs(-6 + 2y) + 4 = 8
(-6 * 2abs + 2y * 2abs) + 4 = 8
(-12abs + 4absy) + 4 = 8

Reorder the terms:
4 + -12abs + 4absy = 8

Solving
4 + -12abs + 4absy = 8

Solving for variable 'a'.

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

Add '-4' to each side of the equation.
4 + -12abs + -4 + 4absy = 8 + -4

Reorder the terms:
4 + -4 + -12abs + 4absy = 8 + -4

Combine like terms: 4 + -4 = 0
0 + -12abs + 4absy = 8 + -4
-12abs + 4absy = 8 + -4

Combine like terms: 8 + -4 = 4
-12abs + 4absy = 4

Reorder the terms:
-4 + -12abs + 4absy = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -12abs + 4absy = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + -3abs + absy) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-1 + -3abs + absy)' equal to zero and attempt to solve: Simplifying -1 + -3abs + absy = 0 Solving -1 + -3abs + 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 + -3abs + 1 + absy = 0 + 1 Reorder the terms: -1 + 1 + -3abs + absy = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3abs + absy = 0 + 1 -3abs + absy = 0 + 1 Combine like terms: 0 + 1 = 1 -3abs + 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.

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