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Simplifying 24(y + 2) = 4(5y + 6) Reorder the terms: 24(2 + y) = 4(5y + 6) (2 * 24 + y * 24) = 4(5y + 6) (48 + 24y) = 4(5y + 6) Reorder the terms: 48 + 24y = 4(6 + 5y) 48 + 24y = (6 * 4 + 5y * 4) 48 + 24y = (24 + 20y) Solving 48 + 24y = 24 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. 48 + 24y + -20y = 24 + 20y + -20y Combine like terms: 24y + -20y = 4y 48 + 4y = 24 + 20y + -20y Combine like terms: 20y + -20y = 0 48 + 4y = 24 + 0 48 + 4y = 24 Add '-48' to each side of the equation. 48 + -48 + 4y = 24 + -48 Combine like terms: 48 + -48 = 0 0 + 4y = 24 + -48 4y = 24 + -48 Combine like terms: 24 + -48 = -24 4y = -24 Divide each side by '4'. y = -6 Simplifying y = -6
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