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Simplifying 16(0.75 + 0.8y) = 0.2y + 0.77(y + 2) (0.75 * 16 + 0.8y * 16) = 0.2y + 0.77(y + 2) (12 + 12.8y) = 0.2y + 0.77(y + 2) Reorder the terms: 12 + 12.8y = 0.2y + 0.77(2 + y) 12 + 12.8y = 0.2y + (2 * 0.77 + y * 0.77) 12 + 12.8y = 0.2y + (1.54 + 0.77y) Reorder the terms: 12 + 12.8y = 1.54 + 0.2y + 0.77y Combine like terms: 0.2y + 0.77y = 0.97y 12 + 12.8y = 1.54 + 0.97y Solving 12 + 12.8y = 1.54 + 0.97y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.97y' to each side of the equation. 12 + 12.8y + -0.97y = 1.54 + 0.97y + -0.97y Combine like terms: 12.8y + -0.97y = 11.83y 12 + 11.83y = 1.54 + 0.97y + -0.97y Combine like terms: 0.97y + -0.97y = 0.00 12 + 11.83y = 1.54 + 0.00 12 + 11.83y = 1.54 Add '-12' to each side of the equation. 12 + -12 + 11.83y = 1.54 + -12 Combine like terms: 12 + -12 = 0 0 + 11.83y = 1.54 + -12 11.83y = 1.54 + -12 Combine like terms: 1.54 + -12 = -10.46 11.83y = -10.46 Divide each side by '11.83'. y = -0.8841927303 Simplifying y = -0.8841927303
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