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Simplifying abs(2y + -3) = abs(9 + -4y) Reorder the terms: abs(-3 + 2y) = abs(9 + -4y) (-3 * abs + 2y * abs) = abs(9 + -4y) (-3abs + 2absy) = abs(9 + -4y) -3abs + 2absy = (9 * abs + -4y * abs) -3abs + 2absy = (9abs + -4absy) Solving -3abs + 2absy = 9abs + -4absy Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9abs' to each side of the equation. -3abs + -9abs + 2absy = 9abs + -9abs + -4absy Combine like terms: -3abs + -9abs = -12abs -12abs + 2absy = 9abs + -9abs + -4absy Combine like terms: 9abs + -9abs = 0 -12abs + 2absy = 0 + -4absy -12abs + 2absy = -4absy Add '4absy' to each side of the equation. -12abs + 2absy + 4absy = -4absy + 4absy Combine like terms: 2absy + 4absy = 6absy -12abs + 6absy = -4absy + 4absy Combine like terms: -4absy + 4absy = 0 -12abs + 6absy = 0 Factor out the Greatest Common Factor (GCF), '6abs'. 6abs(-2 + y) = 0 Ignore the factor 6.Subproblem 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 '(-2 + y)' equal to zero and attempt to solve: Simplifying -2 + y = 0 Solving -2 + y = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y = 0 + 2 y = 0 + 2 Combine like terms: 0 + 2 = 2 y = 2 Add '-1y' to each side of the equation. y + -1y = 2 + -1y Combine like terms: y + -1y = 0 0 = 2 + -1y Simplifying 0 = 2 + -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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