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Simplifying 3(2 + -1y) + 9 = (y + 3) * 6 (2 * 3 + -1y * 3) + 9 = (y + 3) * 6 (6 + -3y) + 9 = (y + 3) * 6 Reorder the terms: 6 + 9 + -3y = (y + 3) * 6 Combine like terms: 6 + 9 = 15 15 + -3y = (y + 3) * 6 Reorder the terms: 15 + -3y = (3 + y) * 6 Reorder the terms for easier multiplication: 15 + -3y = 6(3 + y) 15 + -3y = (3 * 6 + y * 6) 15 + -3y = (18 + 6y) Solving 15 + -3y = 18 + 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. 15 + -3y + -6y = 18 + 6y + -6y Combine like terms: -3y + -6y = -9y 15 + -9y = 18 + 6y + -6y Combine like terms: 6y + -6y = 0 15 + -9y = 18 + 0 15 + -9y = 18 Add '-15' to each side of the equation. 15 + -15 + -9y = 18 + -15 Combine like terms: 15 + -15 = 0 0 + -9y = 18 + -15 -9y = 18 + -15 Combine like terms: 18 + -15 = 3 -9y = 3 Divide each side by '-9'. y = -0.3333333333 Simplifying y = -0.3333333333
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