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Simplifying 3(11 + 6y) + -8(y + 2) = 6y + -3y + 5 (11 * 3 + 6y * 3) + -8(y + 2) = 6y + -3y + 5 (33 + 18y) + -8(y + 2) = 6y + -3y + 5 Reorder the terms: 33 + 18y + -8(2 + y) = 6y + -3y + 5 33 + 18y + (2 * -8 + y * -8) = 6y + -3y + 5 33 + 18y + (-16 + -8y) = 6y + -3y + 5 Reorder the terms: 33 + -16 + 18y + -8y = 6y + -3y + 5 Combine like terms: 33 + -16 = 17 17 + 18y + -8y = 6y + -3y + 5 Combine like terms: 18y + -8y = 10y 17 + 10y = 6y + -3y + 5 Reorder the terms: 17 + 10y = 5 + 6y + -3y Combine like terms: 6y + -3y = 3y 17 + 10y = 5 + 3y Solving 17 + 10y = 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. 17 + 10y + -3y = 5 + 3y + -3y Combine like terms: 10y + -3y = 7y 17 + 7y = 5 + 3y + -3y Combine like terms: 3y + -3y = 0 17 + 7y = 5 + 0 17 + 7y = 5 Add '-17' to each side of the equation. 17 + -17 + 7y = 5 + -17 Combine like terms: 17 + -17 = 0 0 + 7y = 5 + -17 7y = 5 + -17 Combine like terms: 5 + -17 = -12 7y = -12 Divide each side by '7'. y = -1.714285714 Simplifying y = -1.714285714
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