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Simplifying 4(y + 9) = 2y + 24 Reorder the terms: 4(9 + y) = 2y + 24 (9 * 4 + y * 4) = 2y + 24 (36 + 4y) = 2y + 24 Reorder the terms: 36 + 4y = 24 + 2y Solving 36 + 4y = 24 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 36 + 4y + -2y = 24 + 2y + -2y Combine like terms: 4y + -2y = 2y 36 + 2y = 24 + 2y + -2y Combine like terms: 2y + -2y = 0 36 + 2y = 24 + 0 36 + 2y = 24 Add '-36' to each side of the equation. 36 + -36 + 2y = 24 + -36 Combine like terms: 36 + -36 = 0 0 + 2y = 24 + -36 2y = 24 + -36 Combine like terms: 24 + -36 = -12 2y = -12 Divide each side by '2'. y = -6 Simplifying y = -6
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