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Simplifying 2.4(y + 1) = 0.6(2y + 12) Reorder the terms: 2.4(1 + y) = 0.6(2y + 12) (1 * 2.4 + y * 2.4) = 0.6(2y + 12) (2.4 + 2.4y) = 0.6(2y + 12) Reorder the terms: 2.4 + 2.4y = 0.6(12 + 2y) 2.4 + 2.4y = (12 * 0.6 + 2y * 0.6) 2.4 + 2.4y = (7.2 + 1.2y) Solving 2.4 + 2.4y = 7.2 + 1.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.2y' to each side of the equation. 2.4 + 2.4y + -1.2y = 7.2 + 1.2y + -1.2y Combine like terms: 2.4y + -1.2y = 1.2y 2.4 + 1.2y = 7.2 + 1.2y + -1.2y Combine like terms: 1.2y + -1.2y = 0.0 2.4 + 1.2y = 7.2 + 0.0 2.4 + 1.2y = 7.2 Add '-2.4' to each side of the equation. 2.4 + -2.4 + 1.2y = 7.2 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 1.2y = 7.2 + -2.4 1.2y = 7.2 + -2.4 Combine like terms: 7.2 + -2.4 = 4.8 1.2y = 4.8 Divide each side by '1.2'. y = 4 Simplifying y = 4
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