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Simplifying 9(y + 6) = 3y + -6 Reorder the terms: 9(6 + y) = 3y + -6 (6 * 9 + y * 9) = 3y + -6 (54 + 9y) = 3y + -6 Reorder the terms: 54 + 9y = -6 + 3y Solving 54 + 9y = -6 + 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. 54 + 9y + -3y = -6 + 3y + -3y Combine like terms: 9y + -3y = 6y 54 + 6y = -6 + 3y + -3y Combine like terms: 3y + -3y = 0 54 + 6y = -6 + 0 54 + 6y = -6 Add '-54' to each side of the equation. 54 + -54 + 6y = -6 + -54 Combine like terms: 54 + -54 = 0 0 + 6y = -6 + -54 6y = -6 + -54 Combine like terms: -6 + -54 = -60 6y = -60 Divide each side by '6'. y = -10 Simplifying y = -10
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