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Simplifying 11 + -6(6y + -1) + 3(2 + y) = 5 + -3y Reorder the terms: 11 + -6(-1 + 6y) + 3(2 + y) = 5 + -3y 11 + (-1 * -6 + 6y * -6) + 3(2 + y) = 5 + -3y 11 + (6 + -36y) + 3(2 + y) = 5 + -3y 11 + 6 + -36y + (2 * 3 + y * 3) = 5 + -3y 11 + 6 + -36y + (6 + 3y) = 5 + -3y Reorder the terms: 11 + 6 + 6 + -36y + 3y = 5 + -3y Combine like terms: 11 + 6 = 17 17 + 6 + -36y + 3y = 5 + -3y Combine like terms: 17 + 6 = 23 23 + -36y + 3y = 5 + -3y Combine like terms: -36y + 3y = -33y 23 + -33y = 5 + -3y Solving 23 + -33y = 5 + -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. 23 + -33y + 3y = 5 + -3y + 3y Combine like terms: -33y + 3y = -30y 23 + -30y = 5 + -3y + 3y Combine like terms: -3y + 3y = 0 23 + -30y = 5 + 0 23 + -30y = 5 Add '-23' to each side of the equation. 23 + -23 + -30y = 5 + -23 Combine like terms: 23 + -23 = 0 0 + -30y = 5 + -23 -30y = 5 + -23 Combine like terms: 5 + -23 = -18 -30y = -18 Divide each side by '-30'. y = 0.6 Simplifying y = 0.6
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