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Simplifying 3(y + 10) = -30(y + -1) + -99 Reorder the terms: 3(10 + y) = -30(y + -1) + -99 (10 * 3 + y * 3) = -30(y + -1) + -99 (30 + 3y) = -30(y + -1) + -99 Reorder the terms: 30 + 3y = -30(-1 + y) + -99 30 + 3y = (-1 * -30 + y * -30) + -99 30 + 3y = (30 + -30y) + -99 Reorder the terms: 30 + 3y = 30 + -99 + -30y Combine like terms: 30 + -99 = -69 30 + 3y = -69 + -30y Solving 30 + 3y = -69 + -30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30y' to each side of the equation. 30 + 3y + 30y = -69 + -30y + 30y Combine like terms: 3y + 30y = 33y 30 + 33y = -69 + -30y + 30y Combine like terms: -30y + 30y = 0 30 + 33y = -69 + 0 30 + 33y = -69 Add '-30' to each side of the equation. 30 + -30 + 33y = -69 + -30 Combine like terms: 30 + -30 = 0 0 + 33y = -69 + -30 33y = -69 + -30 Combine like terms: -69 + -30 = -99 33y = -99 Divide each side by '33'. y = -3 Simplifying y = -3
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