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Simplifying 6y + 3(y + 7) = -24 Reorder the terms: 6y + 3(7 + y) = -24 6y + (7 * 3 + y * 3) = -24 6y + (21 + 3y) = -24 Reorder the terms: 21 + 6y + 3y = -24 Combine like terms: 6y + 3y = 9y 21 + 9y = -24 Solving 21 + 9y = -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 + 9y = -24 + -21 Combine like terms: 21 + -21 = 0 0 + 9y = -24 + -21 9y = -24 + -21 Combine like terms: -24 + -21 = -45 9y = -45 Divide each side by '9'. y = -5 Simplifying y = -5
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