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Simplifying 0.04(y + -5) + 0.20y = 0.16y + -0.6 Reorder the terms: 0.04(-5 + y) + 0.20y = 0.16y + -0.6 (-5 * 0.04 + y * 0.04) + 0.20y = 0.16y + -0.6 (-0.2 + 0.04y) + 0.20y = 0.16y + -0.6 Combine like terms: 0.04y + 0.20y = 0.24y -0.2 + 0.24y = 0.16y + -0.6 Reorder the terms: -0.2 + 0.24y = -0.6 + 0.16y Solving -0.2 + 0.24y = -0.6 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -0.2 + 0.24y + -0.16y = -0.6 + 0.16y + -0.16y Combine like terms: 0.24y + -0.16y = 0.08y -0.2 + 0.08y = -0.6 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.2 + 0.08y = -0.6 + 0.00 -0.2 + 0.08y = -0.6 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.08y = -0.6 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.08y = -0.6 + 0.2 0.08y = -0.6 + 0.2 Combine like terms: -0.6 + 0.2 = -0.4 0.08y = -0.4 Divide each side by '0.08'. y = -5 Simplifying y = -5
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