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Simplifying 5(y + 9) = -8y + -33 Reorder the terms: 5(9 + y) = -8y + -33 (9 * 5 + y * 5) = -8y + -33 (45 + 5y) = -8y + -33 Reorder the terms: 45 + 5y = -33 + -8y Solving 45 + 5y = -33 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 45 + 5y + 8y = -33 + -8y + 8y Combine like terms: 5y + 8y = 13y 45 + 13y = -33 + -8y + 8y Combine like terms: -8y + 8y = 0 45 + 13y = -33 + 0 45 + 13y = -33 Add '-45' to each side of the equation. 45 + -45 + 13y = -33 + -45 Combine like terms: 45 + -45 = 0 0 + 13y = -33 + -45 13y = -33 + -45 Combine like terms: -33 + -45 = -78 13y = -78 Divide each side by '13'. y = -6 Simplifying y = -6
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