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Simplifying 0.18(y + -1) + 0.10y = 0.20y + -0.01(60) Reorder the terms: 0.18(-1 + y) + 0.10y = 0.20y + -0.01(60) (-1 * 0.18 + y * 0.18) + 0.10y = 0.20y + -0.01(60) (-0.18 + 0.18y) + 0.10y = 0.20y + -0.01(60) Combine like terms: 0.18y + 0.10y = 0.28y -0.18 + 0.28y = 0.20y + -0.01(60) Multiply -0.01 * 60 -0.18 + 0.28y = 0.20y + -0.6 Reorder the terms: -0.18 + 0.28y = -0.6 + 0.20y Solving -0.18 + 0.28y = -0.6 + 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. -0.18 + 0.28y + -0.20y = -0.6 + 0.20y + -0.20y Combine like terms: 0.28y + -0.20y = 0.08y -0.18 + 0.08y = -0.6 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.18 + 0.08y = -0.6 + 0.00 -0.18 + 0.08y = -0.6 Add '0.18' to each side of the equation. -0.18 + 0.18 + 0.08y = -0.6 + 0.18 Combine like terms: -0.18 + 0.18 = 0.00 0.00 + 0.08y = -0.6 + 0.18 0.08y = -0.6 + 0.18 Combine like terms: -0.6 + 0.18 = -0.42 0.08y = -0.42 Divide each side by '0.08'. y = -5.25 Simplifying y = -5.25
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