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Simplifying 2(y + 5) = 4y + 24 Reorder the terms: 2(5 + y) = 4y + 24 (5 * 2 + y * 2) = 4y + 24 (10 + 2y) = 4y + 24 Reorder the terms: 10 + 2y = 24 + 4y Solving 10 + 2y = 24 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 10 + 2y + -4y = 24 + 4y + -4y Combine like terms: 2y + -4y = -2y 10 + -2y = 24 + 4y + -4y Combine like terms: 4y + -4y = 0 10 + -2y = 24 + 0 10 + -2y = 24 Add '-10' to each side of the equation. 10 + -10 + -2y = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -2y = 24 + -10 -2y = 24 + -10 Combine like terms: 24 + -10 = 14 -2y = 14 Divide each side by '-2'. y = -7 Simplifying y = -7
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