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