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Simplifying 0.20(y + -6) + 0.06y = 0.18y + -0.03(30) Reorder the terms: 0.20(-6 + y) + 0.06y = 0.18y + -0.03(30) (-6 * 0.20 + y * 0.20) + 0.06y = 0.18y + -0.03(30) (-1.2 + 0.20y) + 0.06y = 0.18y + -0.03(30) Combine like terms: 0.20y + 0.06y = 0.26y -1.2 + 0.26y = 0.18y + -0.03(30) Multiply -0.03 * 30 -1.2 + 0.26y = 0.18y + -0.9 Reorder the terms: -1.2 + 0.26y = -0.9 + 0.18y Solving -1.2 + 0.26y = -0.9 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -1.2 + 0.26y + -0.18y = -0.9 + 0.18y + -0.18y Combine like terms: 0.26y + -0.18y = 0.08y -1.2 + 0.08y = -0.9 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -1.2 + 0.08y = -0.9 + 0.00 -1.2 + 0.08y = -0.9 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.08y = -0.9 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.08y = -0.9 + 1.2 0.08y = -0.9 + 1.2 Combine like terms: -0.9 + 1.2 = 0.3 0.08y = 0.3 Divide each side by '0.08'. y = 3.75 Simplifying y = 3.75
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