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

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


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

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

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

Add '-2absy' to each side of the equation.
6abs + 2absy + -2absy = -4abs + 2absy + -2absy

Combine like terms: 2absy + -2absy = 0
6abs + 0 = -4abs + 2absy + -2absy
6abs = -4abs + 2absy + -2absy

Combine like terms: 2absy + -2absy = 0
6abs = -4abs + 0
6abs = -4abs

Solving
6abs = -4abs

Solving for variable 'a'.

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

Add '4abs' to each side of the equation.
6abs + 4abs = -4abs + 4abs

Combine like terms: 6abs + 4abs = 10abs
10abs = -4abs + 4abs

Combine like terms: -4abs + 4abs = 0
10abs = 0

Divide each side by '10'.
abs = 0.0

Simplifying
abs = 0.0

The solution to this equation could not be determined.

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