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Simplifying 6(y + 9) = 5y + -3 Reorder the terms: 6(9 + y) = 5y + -3 (9 * 6 + y * 6) = 5y + -3 (54 + 6y) = 5y + -3 Reorder the terms: 54 + 6y = -3 + 5y Solving 54 + 6y = -3 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 54 + 6y + -5y = -3 + 5y + -5y Combine like terms: 6y + -5y = 1y 54 + 1y = -3 + 5y + -5y Combine like terms: 5y + -5y = 0 54 + 1y = -3 + 0 54 + 1y = -3 Add '-54' to each side of the equation. 54 + -54 + 1y = -3 + -54 Combine like terms: 54 + -54 = 0 0 + 1y = -3 + -54 1y = -3 + -54 Combine like terms: -3 + -54 = -57 1y = -57 Divide each side by '1'. y = -57 Simplifying y = -57
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