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Simplifying 3(2y + 6) = 0.2(8y + 12) Reorder the terms: 3(6 + 2y) = 0.2(8y + 12) (6 * 3 + 2y * 3) = 0.2(8y + 12) (18 + 6y) = 0.2(8y + 12) Reorder the terms: 18 + 6y = 0.2(12 + 8y) 18 + 6y = (12 * 0.2 + 8y * 0.2) 18 + 6y = (2.4 + 1.6y) Solving 18 + 6y = 2.4 + 1.6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.6y' to each side of the equation. 18 + 6y + -1.6y = 2.4 + 1.6y + -1.6y Combine like terms: 6y + -1.6y = 4.4y 18 + 4.4y = 2.4 + 1.6y + -1.6y Combine like terms: 1.6y + -1.6y = 0.0 18 + 4.4y = 2.4 + 0.0 18 + 4.4y = 2.4 Add '-18' to each side of the equation. 18 + -18 + 4.4y = 2.4 + -18 Combine like terms: 18 + -18 = 0 0 + 4.4y = 2.4 + -18 4.4y = 2.4 + -18 Combine like terms: 2.4 + -18 = -15.6 4.4y = -15.6 Divide each side by '4.4'. y = -3.545454545 Simplifying y = -3.545454545
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