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Simplifying 5(y + 2) = 18 + -1(1 + -3y) Reorder the terms: 5(2 + y) = 18 + -1(1 + -3y) (2 * 5 + y * 5) = 18 + -1(1 + -3y) (10 + 5y) = 18 + -1(1 + -3y) 10 + 5y = 18 + (1 * -1 + -3y * -1) 10 + 5y = 18 + (-1 + 3y) Combine like terms: 18 + -1 = 17 10 + 5y = 17 + 3y Solving 10 + 5y = 17 + 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. 10 + 5y + -3y = 17 + 3y + -3y Combine like terms: 5y + -3y = 2y 10 + 2y = 17 + 3y + -3y Combine like terms: 3y + -3y = 0 10 + 2y = 17 + 0 10 + 2y = 17 Add '-10' to each side of the equation. 10 + -10 + 2y = 17 + -10 Combine like terms: 10 + -10 = 0 0 + 2y = 17 + -10 2y = 17 + -10 Combine like terms: 17 + -10 = 7 2y = 7 Divide each side by '2'. y = 3.5 Simplifying y = 3.5
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