abs(2y+3)=abs(2y+6)

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Solution for abs(2y+3)=abs(2y+6) equation:


Simplifying
abs(2y + 3) = abs(2y + 6)

Reorder the terms:
abs(3 + 2y) = abs(2y + 6)
(3 * abs + 2y * abs) = abs(2y + 6)
(3abs + 2absy) = abs(2y + 6)

Reorder the terms:
3abs + 2absy = abs(6 + 2y)
3abs + 2absy = (6 * abs + 2y * abs)
3abs + 2absy = (6abs + 2absy)

Add '-2absy' to each side of the equation.
3abs + 2absy + -2absy = 6abs + 2absy + -2absy

Combine like terms: 2absy + -2absy = 0
3abs + 0 = 6abs + 2absy + -2absy
3abs = 6abs + 2absy + -2absy

Combine like terms: 2absy + -2absy = 0
3abs = 6abs + 0
3abs = 6abs

Solving
3abs = 6abs

Solving for variable 'a'.

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

Add '-6abs' to each side of the equation.
3abs + -6abs = 6abs + -6abs

Combine like terms: 3abs + -6abs = -3abs
-3abs = 6abs + -6abs

Combine like terms: 6abs + -6abs = 0
-3abs = 0

Divide each side by '-3'.
abs = 0

Simplifying
abs = 0

The solution to this equation could not be determined.

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