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Simplifying (4k + 5)(k + 1) = y Reorder the terms: (5 + 4k)(k + 1) = y Reorder the terms: (5 + 4k)(1 + k) = y Multiply (5 + 4k) * (1 + k) (5(1 + k) + 4k * (1 + k)) = y ((1 * 5 + k * 5) + 4k * (1 + k)) = y ((5 + 5k) + 4k * (1 + k)) = y (5 + 5k + (1 * 4k + k * 4k)) = y (5 + 5k + (4k + 4k2)) = y Combine like terms: 5k + 4k = 9k (5 + 9k + 4k2) = y Solving 5 + 9k + 4k2 = y Solving for variable 'k'. Combine like terms: y + -1y = 0 5 + 9k + 4k2 + -1y = 0 The solution to this equation could not be determined.
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