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Simplifying 40 = 19.4(2 + -5y) + -5(9y + -11.6) 40 = (2 * 19.4 + -5y * 19.4) + -5(9y + -11.6) 40 = (38.8 + -97y) + -5(9y + -11.6) Reorder the terms: 40 = 38.8 + -97y + -5(-11.6 + 9y) 40 = 38.8 + -97y + (-11.6 * -5 + 9y * -5) 40 = 38.8 + -97y + (58 + -45y) Reorder the terms: 40 = 38.8 + 58 + -97y + -45y Combine like terms: 38.8 + 58 = 96.8 40 = 96.8 + -97y + -45y Combine like terms: -97y + -45y = -142y 40 = 96.8 + -142y Solving 40 = 96.8 + -142y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '142y' to each side of the equation. 40 + 142y = 96.8 + -142y + 142y Combine like terms: -142y + 142y = 0 40 + 142y = 96.8 + 0 40 + 142y = 96.8 Add '-40' to each side of the equation. 40 + -40 + 142y = 96.8 + -40 Combine like terms: 40 + -40 = 0 0 + 142y = 96.8 + -40 142y = 96.8 + -40 Combine like terms: 96.8 + -40 = 56.8 142y = 56.8 Divide each side by '142'. y = 0.4 Simplifying y = 0.4
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