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Simplifying abs(4y + 7) = abs(4y + 5) Reorder the terms: abs(7 + 4y) = abs(4y + 5) (7 * abs + 4y * abs) = abs(4y + 5) (7abs + 4absy) = abs(4y + 5) Reorder the terms: 7abs + 4absy = abs(5 + 4y) 7abs + 4absy = (5 * abs + 4y * abs) 7abs + 4absy = (5abs + 4absy) Add '-4absy' to each side of the equation. 7abs + 4absy + -4absy = 5abs + 4absy + -4absy Combine like terms: 4absy + -4absy = 0 7abs + 0 = 5abs + 4absy + -4absy 7abs = 5abs + 4absy + -4absy Combine like terms: 4absy + -4absy = 0 7abs = 5abs + 0 7abs = 5abs Solving 7abs = 5abs Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5abs' to each side of the equation. 7abs + -5abs = 5abs + -5abs Combine like terms: 7abs + -5abs = 2abs 2abs = 5abs + -5abs Combine like terms: 5abs + -5abs = 0 2abs = 0 Divide each side by '2'. abs = 0 Simplifying abs = 0 The solution to this equation could not be determined.
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