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Simplifying 0.18(y + -6) + 0.20y = 0.06y + -0.03(60) Reorder the terms: 0.18(-6 + y) + 0.20y = 0.06y + -0.03(60) (-6 * 0.18 + y * 0.18) + 0.20y = 0.06y + -0.03(60) (-1.08 + 0.18y) + 0.20y = 0.06y + -0.03(60) Combine like terms: 0.18y + 0.20y = 0.38y -1.08 + 0.38y = 0.06y + -0.03(60) Multiply -0.03 * 60 -1.08 + 0.38y = 0.06y + -1.8 Reorder the terms: -1.08 + 0.38y = -1.8 + 0.06y Solving -1.08 + 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. -1.08 + 0.38y + -0.06y = -1.8 + 0.06y + -0.06y Combine like terms: 0.38y + -0.06y = 0.32y -1.08 + 0.32y = -1.8 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -1.08 + 0.32y = -1.8 + 0.00 -1.08 + 0.32y = -1.8 Add '1.08' to each side of the equation. -1.08 + 1.08 + 0.32y = -1.8 + 1.08 Combine like terms: -1.08 + 1.08 = 0.00 0.00 + 0.32y = -1.8 + 1.08 0.32y = -1.8 + 1.08 Combine like terms: -1.8 + 1.08 = -0.72 0.32y = -0.72 Divide each side by '0.32'. y = -2.25 Simplifying y = -2.25
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