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Simplifying 0.10(y + -9) + 0.18y = 0.20y + -1 Reorder the terms: 0.10(-9 + y) + 0.18y = 0.20y + -1 (-9 * 0.10 + y * 0.10) + 0.18y = 0.20y + -1 (-0.9 + 0.10y) + 0.18y = 0.20y + -1 Combine like terms: 0.10y + 0.18y = 0.28y -0.9 + 0.28y = 0.20y + -1 Reorder the terms: -0.9 + 0.28y = -1 + 0.20y Solving -0.9 + 0.28y = -1 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.9 + 0.28y + -0.20y = -1 + 0.20y + -0.20y Combine like terms: 0.28y + -0.20y = 0.08y -0.9 + 0.08y = -1 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.9 + 0.08y = -1 + 0.00 -0.9 + 0.08y = -1 Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.08y = -1 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.08y = -1 + 0.9 0.08y = -1 + 0.9 Combine like terms: -1 + 0.9 = -0.1 0.08y = -0.1 Divide each side by '0.08'. y = -1.25 Simplifying y = -1.25
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