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Simplifying 9(y + 6) = 6y + 39 Reorder the terms: 9(6 + y) = 6y + 39 (6 * 9 + y * 9) = 6y + 39 (54 + 9y) = 6y + 39 Reorder the terms: 54 + 9y = 39 + 6y Solving 54 + 9y = 39 + 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. 54 + 9y + -6y = 39 + 6y + -6y Combine like terms: 9y + -6y = 3y 54 + 3y = 39 + 6y + -6y Combine like terms: 6y + -6y = 0 54 + 3y = 39 + 0 54 + 3y = 39 Add '-54' to each side of the equation. 54 + -54 + 3y = 39 + -54 Combine like terms: 54 + -54 = 0 0 + 3y = 39 + -54 3y = 39 + -54 Combine like terms: 39 + -54 = -15 3y = -15 Divide each side by '3'. y = -5 Simplifying y = -5
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