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Simplifying 2(2y + 7) + 6 = 24 + -3y Reorder the terms: 2(7 + 2y) + 6 = 24 + -3y (7 * 2 + 2y * 2) + 6 = 24 + -3y (14 + 4y) + 6 = 24 + -3y Reorder the terms: 14 + 6 + 4y = 24 + -3y Combine like terms: 14 + 6 = 20 20 + 4y = 24 + -3y Solving 20 + 4y = 24 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 20 + 4y + 3y = 24 + -3y + 3y Combine like terms: 4y + 3y = 7y 20 + 7y = 24 + -3y + 3y Combine like terms: -3y + 3y = 0 20 + 7y = 24 + 0 20 + 7y = 24 Add '-20' to each side of the equation. 20 + -20 + 7y = 24 + -20 Combine like terms: 20 + -20 = 0 0 + 7y = 24 + -20 7y = 24 + -20 Combine like terms: 24 + -20 = 4 7y = 4 Divide each side by '7'. y = 0.5714285714 Simplifying y = 0.5714285714
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