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Simplifying abs(5y + 8) = abs(5y + 7) Reorder the terms: abs(8 + 5y) = abs(5y + 7) (8 * abs + 5y * abs) = abs(5y + 7) (8abs + 5absy) = abs(5y + 7) Reorder the terms: 8abs + 5absy = abs(7 + 5y) 8abs + 5absy = (7 * abs + 5y * abs) 8abs + 5absy = (7abs + 5absy) Add '-5absy' to each side of the equation. 8abs + 5absy + -5absy = 7abs + 5absy + -5absy Combine like terms: 5absy + -5absy = 0 8abs + 0 = 7abs + 5absy + -5absy 8abs = 7abs + 5absy + -5absy Combine like terms: 5absy + -5absy = 0 8abs = 7abs + 0 8abs = 7abs Solving 8abs = 7abs Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7abs' to each side of the equation. 8abs + -7abs = 7abs + -7abs Combine like terms: 8abs + -7abs = 1abs 1abs = 7abs + -7abs Combine like terms: 7abs + -7abs = 0 1abs = 0 Divide each side by '1'. abs = 0 Simplifying abs = 0 The solution to this equation could not be determined.
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