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Simplifying 0.08(y + -1) + 0.16 = 0.14y + -0.001(50) Reorder the terms: 0.08(-1 + y) + 0.16 = 0.14y + -0.001(50) (-1 * 0.08 + y * 0.08) + 0.16 = 0.14y + -0.001(50) (-0.08 + 0.08y) + 0.16 = 0.14y + -0.001(50) Reorder the terms: -0.08 + 0.16 + 0.08y = 0.14y + -0.001(50) Combine like terms: -0.08 + 0.16 = 0.08 0.08 + 0.08y = 0.14y + -0.001(50) Multiply -0.001 * 50 0.08 + 0.08y = 0.14y + -0.05 Reorder the terms: 0.08 + 0.08y = -0.05 + 0.14y Solving 0.08 + 0.08y = -0.05 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. 0.08 + 0.08y + -0.14y = -0.05 + 0.14y + -0.14y Combine like terms: 0.08y + -0.14y = -0.06y 0.08 + -0.06y = -0.05 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 0.08 + -0.06y = -0.05 + 0.00 0.08 + -0.06y = -0.05 Add '-0.08' to each side of the equation. 0.08 + -0.08 + -0.06y = -0.05 + -0.08 Combine like terms: 0.08 + -0.08 = 0.00 0.00 + -0.06y = -0.05 + -0.08 -0.06y = -0.05 + -0.08 Combine like terms: -0.05 + -0.08 = -0.13 -0.06y = -0.13 Divide each side by '-0.06'. y = 2.166666667 Simplifying y = 2.166666667
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