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Simplifying 0.11 = 0.065 + 0.85(y + -0.065) Reorder the terms: 0.11 = 0.065 + 0.85(-0.065 + y) 0.11 = 0.065 + (-0.065 * 0.85 + y * 0.85) 0.11 = 0.065 + (-0.05525 + 0.85y) Combine like terms: 0.065 + -0.05525 = 0.00975 0.11 = 0.00975 + 0.85y Solving 0.11 = 0.00975 + 0.85y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.85y' to each side of the equation. 0.11 + -0.85y = 0.00975 + 0.85y + -0.85y Combine like terms: 0.85y + -0.85y = 0.00 0.11 + -0.85y = 0.00975 + 0.00 0.11 + -0.85y = 0.00975 Add '-0.11' to each side of the equation. 0.11 + -0.11 + -0.85y = 0.00975 + -0.11 Combine like terms: 0.11 + -0.11 = 0.00 0.00 + -0.85y = 0.00975 + -0.11 -0.85y = 0.00975 + -0.11 Combine like terms: 0.00975 + -0.11 = -0.10025 -0.85y = -0.10025 Divide each side by '-0.85'. y = 0.1179411765 Simplifying y = 0.1179411765
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