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Simplifying 0.18(y + -1) + 0.20y = 0.02y + -0.09(40) Reorder the terms: 0.18(-1 + y) + 0.20y = 0.02y + -0.09(40) (-1 * 0.18 + y * 0.18) + 0.20y = 0.02y + -0.09(40) (-0.18 + 0.18y) + 0.20y = 0.02y + -0.09(40) Combine like terms: 0.18y + 0.20y = 0.38y -0.18 + 0.38y = 0.02y + -0.09(40) Multiply -0.09 * 40 -0.18 + 0.38y = 0.02y + -3.6 Reorder the terms: -0.18 + 0.38y = -3.6 + 0.02y Solving -0.18 + 0.38y = -3.6 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -0.18 + 0.38y + -0.02y = -3.6 + 0.02y + -0.02y Combine like terms: 0.38y + -0.02y = 0.36y -0.18 + 0.36y = -3.6 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.18 + 0.36y = -3.6 + 0.00 -0.18 + 0.36y = -3.6 Add '0.18' to each side of the equation. -0.18 + 0.18 + 0.36y = -3.6 + 0.18 Combine like terms: -0.18 + 0.18 = 0.00 0.00 + 0.36y = -3.6 + 0.18 0.36y = -3.6 + 0.18 Combine like terms: -3.6 + 0.18 = -3.42 0.36y = -3.42 Divide each side by '0.36'. y = -9.5 Simplifying y = -9.5
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