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Simplifying 2(3 + -1y) = 7y + 24 (3 * 2 + -1y * 2) = 7y + 24 (6 + -2y) = 7y + 24 Reorder the terms: 6 + -2y = 24 + 7y Solving 6 + -2y = 24 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 6 + -2y + -7y = 24 + 7y + -7y Combine like terms: -2y + -7y = -9y 6 + -9y = 24 + 7y + -7y Combine like terms: 7y + -7y = 0 6 + -9y = 24 + 0 6 + -9y = 24 Add '-6' to each side of the equation. 6 + -6 + -9y = 24 + -6 Combine like terms: 6 + -6 = 0 0 + -9y = 24 + -6 -9y = 24 + -6 Combine like terms: 24 + -6 = 18 -9y = 18 Divide each side by '-9'. y = -2 Simplifying y = -2
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