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Simplifying 2.5(1.2y + 6) = 1.92 + 8(4.3y + 2.42) Reorder the terms: 2.5(6 + 1.2y) = 1.92 + 8(4.3y + 2.42) (6 * 2.5 + 1.2y * 2.5) = 1.92 + 8(4.3y + 2.42) (15 + 3y) = 1.92 + 8(4.3y + 2.42) Reorder the terms: 15 + 3y = 1.92 + 8(2.42 + 4.3y) 15 + 3y = 1.92 + (2.42 * 8 + 4.3y * 8) 15 + 3y = 1.92 + (19.36 + 34.4y) Combine like terms: 1.92 + 19.36 = 21.28 15 + 3y = 21.28 + 34.4y Solving 15 + 3y = 21.28 + 34.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-34.4y' to each side of the equation. 15 + 3y + -34.4y = 21.28 + 34.4y + -34.4y Combine like terms: 3y + -34.4y = -31.4y 15 + -31.4y = 21.28 + 34.4y + -34.4y Combine like terms: 34.4y + -34.4y = 0.0 15 + -31.4y = 21.28 + 0.0 15 + -31.4y = 21.28 Add '-15' to each side of the equation. 15 + -15 + -31.4y = 21.28 + -15 Combine like terms: 15 + -15 = 0 0 + -31.4y = 21.28 + -15 -31.4y = 21.28 + -15 Combine like terms: 21.28 + -15 = 6.28 -31.4y = 6.28 Divide each side by '-31.4'. y = -0.2 Simplifying y = -0.2
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