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Simplifying 2(y + 3.7) = 8(7.6 + -1y) Reorder the terms: 2(3.7 + y) = 8(7.6 + -1y) (3.7 * 2 + y * 2) = 8(7.6 + -1y) (7.4 + 2y) = 8(7.6 + -1y) 7.4 + 2y = (7.6 * 8 + -1y * 8) 7.4 + 2y = (60.8 + -8y) Solving 7.4 + 2y = 60.8 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 7.4 + 2y + 8y = 60.8 + -8y + 8y Combine like terms: 2y + 8y = 10y 7.4 + 10y = 60.8 + -8y + 8y Combine like terms: -8y + 8y = 0 7.4 + 10y = 60.8 + 0 7.4 + 10y = 60.8 Add '-7.4' to each side of the equation. 7.4 + -7.4 + 10y = 60.8 + -7.4 Combine like terms: 7.4 + -7.4 = 0.0 0.0 + 10y = 60.8 + -7.4 10y = 60.8 + -7.4 Combine like terms: 60.8 + -7.4 = 53.4 10y = 53.4 Divide each side by '10'. y = 5.34 Simplifying y = 5.34
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