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Simplifying 5 + 2(y + 1) = 3(6 + -1y) Reorder the terms: 5 + 2(1 + y) = 3(6 + -1y) 5 + (1 * 2 + y * 2) = 3(6 + -1y) 5 + (2 + 2y) = 3(6 + -1y) Combine like terms: 5 + 2 = 7 7 + 2y = 3(6 + -1y) 7 + 2y = (6 * 3 + -1y * 3) 7 + 2y = (18 + -3y) Solving 7 + 2y = 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. 7 + 2y + 3y = 18 + -3y + 3y Combine like terms: 2y + 3y = 5y 7 + 5y = 18 + -3y + 3y Combine like terms: -3y + 3y = 0 7 + 5y = 18 + 0 7 + 5y = 18 Add '-7' to each side of the equation. 7 + -7 + 5y = 18 + -7 Combine like terms: 7 + -7 = 0 0 + 5y = 18 + -7 5y = 18 + -7 Combine like terms: 18 + -7 = 11 5y = 11 Divide each side by '5'. y = 2.2 Simplifying y = 2.2
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