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Simplifying (15y + 9) + (22y + 8) + (14y + 10) = 180 Reorder the terms: (9 + 15y) + (22y + 8) + (14y + 10) = 180 Remove parenthesis around (9 + 15y) 9 + 15y + (22y + 8) + (14y + 10) = 180 Reorder the terms: 9 + 15y + (8 + 22y) + (14y + 10) = 180 Remove parenthesis around (8 + 22y) 9 + 15y + 8 + 22y + (14y + 10) = 180 Reorder the terms: 9 + 15y + 8 + 22y + (10 + 14y) = 180 Remove parenthesis around (10 + 14y) 9 + 15y + 8 + 22y + 10 + 14y = 180 Reorder the terms: 9 + 8 + 10 + 15y + 22y + 14y = 180 Combine like terms: 9 + 8 = 17 17 + 10 + 15y + 22y + 14y = 180 Combine like terms: 17 + 10 = 27 27 + 15y + 22y + 14y = 180 Combine like terms: 15y + 22y = 37y 27 + 37y + 14y = 180 Combine like terms: 37y + 14y = 51y 27 + 51y = 180 Solving 27 + 51y = 180 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 51y = 180 + -27 Combine like terms: 27 + -27 = 0 0 + 51y = 180 + -27 51y = 180 + -27 Combine like terms: 180 + -27 = 153 51y = 153 Divide each side by '51'. y = 3 Simplifying y = 3
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