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Simplifying 0.20(y + -1) + 0.18y = 0.06y + -0.09(20) Reorder the terms: 0.20(-1 + y) + 0.18y = 0.06y + -0.09(20) (-1 * 0.20 + y * 0.20) + 0.18y = 0.06y + -0.09(20) (-0.2 + 0.20y) + 0.18y = 0.06y + -0.09(20) Combine like terms: 0.20y + 0.18y = 0.38y -0.2 + 0.38y = 0.06y + -0.09(20) Multiply -0.09 * 20 -0.2 + 0.38y = 0.06y + -1.8 Reorder the terms: -0.2 + 0.38y = -1.8 + 0.06y Solving -0.2 + 0.38y = -1.8 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -0.2 + 0.38y + -0.06y = -1.8 + 0.06y + -0.06y Combine like terms: 0.38y + -0.06y = 0.32y -0.2 + 0.32y = -1.8 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.2 + 0.32y = -1.8 + 0.00 -0.2 + 0.32y = -1.8 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.32y = -1.8 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.32y = -1.8 + 0.2 0.32y = -1.8 + 0.2 Combine like terms: -1.8 + 0.2 = -1.6 0.32y = -1.6 Divide each side by '0.32'. y = -5 Simplifying y = -5
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