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Simplifying 24(y + 2) = 3(7y + 8) Reorder the terms: 24(2 + y) = 3(7y + 8) (2 * 24 + y * 24) = 3(7y + 8) (48 + 24y) = 3(7y + 8) Reorder the terms: 48 + 24y = 3(8 + 7y) 48 + 24y = (8 * 3 + 7y * 3) 48 + 24y = (24 + 21y) Solving 48 + 24y = 24 + 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. 48 + 24y + -21y = 24 + 21y + -21y Combine like terms: 24y + -21y = 3y 48 + 3y = 24 + 21y + -21y Combine like terms: 21y + -21y = 0 48 + 3y = 24 + 0 48 + 3y = 24 Add '-48' to each side of the equation. 48 + -48 + 3y = 24 + -48 Combine like terms: 48 + -48 = 0 0 + 3y = 24 + -48 3y = 24 + -48 Combine like terms: 24 + -48 = -24 3y = -24 Divide each side by '3'. y = -8 Simplifying y = -8
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