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Simplifying -3 + 6(3y + 2) = 2(-3y + 5) + 6 Reorder the terms: -3 + 6(2 + 3y) = 2(-3y + 5) + 6 -3 + (2 * 6 + 3y * 6) = 2(-3y + 5) + 6 -3 + (12 + 18y) = 2(-3y + 5) + 6 Combine like terms: -3 + 12 = 9 9 + 18y = 2(-3y + 5) + 6 Reorder the terms: 9 + 18y = 2(5 + -3y) + 6 9 + 18y = (5 * 2 + -3y * 2) + 6 9 + 18y = (10 + -6y) + 6 Reorder the terms: 9 + 18y = 10 + 6 + -6y Combine like terms: 10 + 6 = 16 9 + 18y = 16 + -6y Solving 9 + 18y = 16 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 9 + 18y + 6y = 16 + -6y + 6y Combine like terms: 18y + 6y = 24y 9 + 24y = 16 + -6y + 6y Combine like terms: -6y + 6y = 0 9 + 24y = 16 + 0 9 + 24y = 16 Add '-9' to each side of the equation. 9 + -9 + 24y = 16 + -9 Combine like terms: 9 + -9 = 0 0 + 24y = 16 + -9 24y = 16 + -9 Combine like terms: 16 + -9 = 7 24y = 7 Divide each side by '24'. y = 0.2916666667 Simplifying y = 0.2916666667
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