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Simplifying abs(4y + 5) = abs(4y + 9) Reorder the terms: abs(5 + 4y) = abs(4y + 9) (5 * abs + 4y * abs) = abs(4y + 9) (5abs + 4absy) = abs(4y + 9) Reorder the terms: 5abs + 4absy = abs(9 + 4y) 5abs + 4absy = (9 * abs + 4y * abs) 5abs + 4absy = (9abs + 4absy) Add '-4absy' to each side of the equation. 5abs + 4absy + -4absy = 9abs + 4absy + -4absy Combine like terms: 4absy + -4absy = 0 5abs + 0 = 9abs + 4absy + -4absy 5abs = 9abs + 4absy + -4absy Combine like terms: 4absy + -4absy = 0 5abs = 9abs + 0 5abs = 9abs Solving 5abs = 9abs 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. 5abs + -9abs = 9abs + -9abs Combine like terms: 5abs + -9abs = -4abs -4abs = 9abs + -9abs Combine like terms: 9abs + -9abs = 0 -4abs = 0 Divide each side by '-4'. abs = 0 Simplifying abs = 0 The solution to this equation could not be determined.
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