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Simplifying (-9y + 5) + -8(-1y + -2) = 24 Reorder the terms: (5 + -9y) + -8(-1y + -2) = 24 Remove parenthesis around (5 + -9y) 5 + -9y + -8(-1y + -2) = 24 Reorder the terms: 5 + -9y + -8(-2 + -1y) = 24 5 + -9y + (-2 * -8 + -1y * -8) = 24 5 + -9y + (16 + 8y) = 24 Reorder the terms: 5 + 16 + -9y + 8y = 24 Combine like terms: 5 + 16 = 21 21 + -9y + 8y = 24 Combine like terms: -9y + 8y = -1y 21 + -1y = 24 Solving 21 + -1y = 24 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1y = 24 + -21 Combine like terms: 21 + -21 = 0 0 + -1y = 24 + -21 -1y = 24 + -21 Combine like terms: 24 + -21 = 3 -1y = 3 Divide each side by '-1'. y = -3 Simplifying y = -3
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