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Simplifying 0.04(y + -6) + 0.20y = 0.18y + -0.6 Reorder the terms: 0.04(-6 + y) + 0.20y = 0.18y + -0.6 (-6 * 0.04 + y * 0.04) + 0.20y = 0.18y + -0.6 (-0.24 + 0.04y) + 0.20y = 0.18y + -0.6 Combine like terms: 0.04y + 0.20y = 0.24y -0.24 + 0.24y = 0.18y + -0.6 Reorder the terms: -0.24 + 0.24y = -0.6 + 0.18y Solving -0.24 + 0.24y = -0.6 + 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. -0.24 + 0.24y + -0.18y = -0.6 + 0.18y + -0.18y Combine like terms: 0.24y + -0.18y = 0.06y -0.24 + 0.06y = -0.6 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.24 + 0.06y = -0.6 + 0.00 -0.24 + 0.06y = -0.6 Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.06y = -0.6 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.06y = -0.6 + 0.24 0.06y = -0.6 + 0.24 Combine like terms: -0.6 + 0.24 = -0.36 0.06y = -0.36 Divide each side by '0.06'. y = -6 Simplifying y = -6
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