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Simplifying 5y + 17 = 3(y + 6) Reorder the terms: 17 + 5y = 3(y + 6) Reorder the terms: 17 + 5y = 3(6 + y) 17 + 5y = (6 * 3 + y * 3) 17 + 5y = (18 + 3y) Solving 17 + 5y = 18 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 17 + 5y + -3y = 18 + 3y + -3y Combine like terms: 5y + -3y = 2y 17 + 2y = 18 + 3y + -3y Combine like terms: 3y + -3y = 0 17 + 2y = 18 + 0 17 + 2y = 18 Add '-17' to each side of the equation. 17 + -17 + 2y = 18 + -17 Combine like terms: 17 + -17 = 0 0 + 2y = 18 + -17 2y = 18 + -17 Combine like terms: 18 + -17 = 1 2y = 1 Divide each side by '2'. y = 0.5 Simplifying y = 0.5
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