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Simplifying abs(3y + -9) = abs(2y + 6) Reorder the terms: abs(-9 + 3y) = abs(2y + 6) (-9 * abs + 3y * abs) = abs(2y + 6) (-9abs + 3absy) = abs(2y + 6) Reorder the terms: -9abs + 3absy = abs(6 + 2y) -9abs + 3absy = (6 * abs + 2y * abs) -9abs + 3absy = (6abs + 2absy) Solving -9abs + 3absy = 6abs + 2absy 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. -9abs + -6abs + 3absy = 6abs + -6abs + 2absy Combine like terms: -9abs + -6abs = -15abs -15abs + 3absy = 6abs + -6abs + 2absy Combine like terms: 6abs + -6abs = 0 -15abs + 3absy = 0 + 2absy -15abs + 3absy = 2absy Add '-2absy' to each side of the equation. -15abs + 3absy + -2absy = 2absy + -2absy Combine like terms: 3absy + -2absy = 1absy -15abs + 1absy = 2absy + -2absy Combine like terms: 2absy + -2absy = 0 -15abs + 1absy = 0 Factor out the Greatest Common Factor (GCF), 'abs'. abs(-15 + y) = 0Subproblem 1
Set the factor 'abs' equal to zero and attempt to solve: Simplifying abs = 0 Solving abs = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abs = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-15 + y)' equal to zero and attempt to solve: Simplifying -15 + y = 0 Solving -15 + y = 0 Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + y = 0 + 15 y = 0 + 15 Combine like terms: 0 + 15 = 15 y = 15 Add '-1y' to each side of the equation. y + -1y = 15 + -1y Combine like terms: y + -1y = 0 0 = 15 + -1y Simplifying 0 = 15 + -1y 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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