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Simplifying 0.18(y + -6) + 0.20y = 0.06y + -0.01(20) Reorder the terms: 0.18(-6 + y) + 0.20y = 0.06y + -0.01(20) (-6 * 0.18 + y * 0.18) + 0.20y = 0.06y + -0.01(20) (-1.08 + 0.18y) + 0.20y = 0.06y + -0.01(20) Combine like terms: 0.18y + 0.20y = 0.38y -1.08 + 0.38y = 0.06y + -0.01(20) Multiply -0.01 * 20 -1.08 + 0.38y = 0.06y + -0.2 Reorder the terms: -1.08 + 0.38y = -0.2 + 0.06y Solving -1.08 + 0.38y = -0.2 + 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. -1.08 + 0.38y + -0.06y = -0.2 + 0.06y + -0.06y Combine like terms: 0.38y + -0.06y = 0.32y -1.08 + 0.32y = -0.2 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -1.08 + 0.32y = -0.2 + 0.00 -1.08 + 0.32y = -0.2 Add '1.08' to each side of the equation. -1.08 + 1.08 + 0.32y = -0.2 + 1.08 Combine like terms: -1.08 + 1.08 = 0.00 0.00 + 0.32y = -0.2 + 1.08 0.32y = -0.2 + 1.08 Combine like terms: -0.2 + 1.08 = 0.88 0.32y = 0.88 Divide each side by '0.32'. y = 2.75 Simplifying y = 2.75
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