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Simplifying 3(11 + 6y) + -1(y + 2) = 6y + -3y + 5 (11 * 3 + 6y * 3) + -1(y + 2) = 6y + -3y + 5 (33 + 18y) + -1(y + 2) = 6y + -3y + 5 Reorder the terms: 33 + 18y + -1(2 + y) = 6y + -3y + 5 33 + 18y + (2 * -1 + y * -1) = 6y + -3y + 5 33 + 18y + (-2 + -1y) = 6y + -3y + 5 Reorder the terms: 33 + -2 + 18y + -1y = 6y + -3y + 5 Combine like terms: 33 + -2 = 31 31 + 18y + -1y = 6y + -3y + 5 Combine like terms: 18y + -1y = 17y 31 + 17y = 6y + -3y + 5 Reorder the terms: 31 + 17y = 5 + 6y + -3y Combine like terms: 6y + -3y = 3y 31 + 17y = 5 + 3y Solving 31 + 17y = 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. 31 + 17y + -3y = 5 + 3y + -3y Combine like terms: 17y + -3y = 14y 31 + 14y = 5 + 3y + -3y Combine like terms: 3y + -3y = 0 31 + 14y = 5 + 0 31 + 14y = 5 Add '-31' to each side of the equation. 31 + -31 + 14y = 5 + -31 Combine like terms: 31 + -31 = 0 0 + 14y = 5 + -31 14y = 5 + -31 Combine like terms: 5 + -31 = -26 14y = -26 Divide each side by '14'. y = -1.857142857 Simplifying y = -1.857142857
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