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Simplifying 0.04(y + -6) + 0.02y = 0.08y + -0.03(10) Reorder the terms: 0.04(-6 + y) + 0.02y = 0.08y + -0.03(10) (-6 * 0.04 + y * 0.04) + 0.02y = 0.08y + -0.03(10) (-0.24 + 0.04y) + 0.02y = 0.08y + -0.03(10) Combine like terms: 0.04y + 0.02y = 0.06y -0.24 + 0.06y = 0.08y + -0.03(10) Multiply -0.03 * 10 -0.24 + 0.06y = 0.08y + -0.3 Reorder the terms: -0.24 + 0.06y = -0.3 + 0.08y Solving -0.24 + 0.06y = -0.3 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -0.24 + 0.06y + -0.08y = -0.3 + 0.08y + -0.08y Combine like terms: 0.06y + -0.08y = -0.02y -0.24 + -0.02y = -0.3 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.24 + -0.02y = -0.3 + 0.00 -0.24 + -0.02y = -0.3 Add '0.24' to each side of the equation. -0.24 + 0.24 + -0.02y = -0.3 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + -0.02y = -0.3 + 0.24 -0.02y = -0.3 + 0.24 Combine like terms: -0.3 + 0.24 = -0.06 -0.02y = -0.06 Divide each side by '-0.02'. y = 3 Simplifying y = 3
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