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Simplifying (5y + 24) + (2y + 13) = 156 Reorder the terms: (24 + 5y) + (2y + 13) = 156 Remove parenthesis around (24 + 5y) 24 + 5y + (2y + 13) = 156 Reorder the terms: 24 + 5y + (13 + 2y) = 156 Remove parenthesis around (13 + 2y) 24 + 5y + 13 + 2y = 156 Reorder the terms: 24 + 13 + 5y + 2y = 156 Combine like terms: 24 + 13 = 37 37 + 5y + 2y = 156 Combine like terms: 5y + 2y = 7y 37 + 7y = 156 Solving 37 + 7y = 156 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 7y = 156 + -37 Combine like terms: 37 + -37 = 0 0 + 7y = 156 + -37 7y = 156 + -37 Combine like terms: 156 + -37 = 119 7y = 119 Divide each side by '7'. y = 17 Simplifying y = 17
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