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Simplifying 0.04(y + -6) + 0.02y = 0.14y + -0.03(20) Reorder the terms: 0.04(-6 + y) + 0.02y = 0.14y + -0.03(20) (-6 * 0.04 + y * 0.04) + 0.02y = 0.14y + -0.03(20) (-0.24 + 0.04y) + 0.02y = 0.14y + -0.03(20) Combine like terms: 0.04y + 0.02y = 0.06y -0.24 + 0.06y = 0.14y + -0.03(20) Multiply -0.03 * 20 -0.24 + 0.06y = 0.14y + -0.6 Reorder the terms: -0.24 + 0.06y = -0.6 + 0.14y Solving -0.24 + 0.06y = -0.6 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -0.24 + 0.06y + -0.14y = -0.6 + 0.14y + -0.14y Combine like terms: 0.06y + -0.14y = -0.08y -0.24 + -0.08y = -0.6 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.24 + -0.08y = -0.6 + 0.00 -0.24 + -0.08y = -0.6 Add '0.24' to each side of the equation. -0.24 + 0.24 + -0.08y = -0.6 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + -0.08y = -0.6 + 0.24 -0.08y = -0.6 + 0.24 Combine like terms: -0.6 + 0.24 = -0.36 -0.08y = -0.36 Divide each side by '-0.08'. y = 4.5 Simplifying y = 4.5
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