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Simplifying 0.10(y + -9) + 0.18y = 0.08 + -0.01(20) Reorder the terms: 0.10(-9 + y) + 0.18y = 0.08 + -0.01(20) (-9 * 0.10 + y * 0.10) + 0.18y = 0.08 + -0.01(20) (-0.9 + 0.10y) + 0.18y = 0.08 + -0.01(20) Combine like terms: 0.10y + 0.18y = 0.28y -0.9 + 0.28y = 0.08 + -0.01(20) Multiply -0.01 * 20 -0.9 + 0.28y = 0.08 + -0.2 Combine like terms: 0.08 + -0.2 = -0.12 -0.9 + 0.28y = -0.12 Solving -0.9 + 0.28y = -0.12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.28y = -0.12 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.28y = -0.12 + 0.9 0.28y = -0.12 + 0.9 Combine like terms: -0.12 + 0.9 = 0.78 0.28y = 0.78 Divide each side by '0.28'. y = 2.785714286 Simplifying y = 2.785714286
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