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Simplifying 0.20(y + -9) + 0.18y = 0.06y + -0.03(20) Reorder the terms: 0.20(-9 + y) + 0.18y = 0.06y + -0.03(20) (-9 * 0.20 + y * 0.20) + 0.18y = 0.06y + -0.03(20) (-1.8 + 0.20y) + 0.18y = 0.06y + -0.03(20) Combine like terms: 0.20y + 0.18y = 0.38y -1.8 + 0.38y = 0.06y + -0.03(20) Multiply -0.03 * 20 -1.8 + 0.38y = 0.06y + -0.6 Reorder the terms: -1.8 + 0.38y = -0.6 + 0.06y Solving -1.8 + 0.38y = -0.6 + 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. -1.8 + 0.38y + -0.06y = -0.6 + 0.06y + -0.06y Combine like terms: 0.38y + -0.06y = 0.32y -1.8 + 0.32y = -0.6 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -1.8 + 0.32y = -0.6 + 0.00 -1.8 + 0.32y = -0.6 Add '1.8' to each side of the equation. -1.8 + 1.8 + 0.32y = -0.6 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 0.32y = -0.6 + 1.8 0.32y = -0.6 + 1.8 Combine like terms: -0.6 + 1.8 = 1.2 0.32y = 1.2 Divide each side by '0.32'. y = 3.75 Simplifying y = 3.75
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