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Simplifying 0.20(y + -2) + 0.04y = 0.16y + -0.6 Reorder the terms: 0.20(-2 + y) + 0.04y = 0.16y + -0.6 (-2 * 0.20 + y * 0.20) + 0.04y = 0.16y + -0.6 (-0.4 + 0.20y) + 0.04y = 0.16y + -0.6 Combine like terms: 0.20y + 0.04y = 0.24y -0.4 + 0.24y = 0.16y + -0.6 Reorder the terms: -0.4 + 0.24y = -0.6 + 0.16y Solving -0.4 + 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. -0.4 + 0.24y + -0.16y = -0.6 + 0.16y + -0.16y Combine like terms: 0.24y + -0.16y = 0.08y -0.4 + 0.08y = -0.6 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.4 + 0.08y = -0.6 + 0.00 -0.4 + 0.08y = -0.6 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.08y = -0.6 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.08y = -0.6 + 0.4 0.08y = -0.6 + 0.4 Combine like terms: -0.6 + 0.4 = -0.2 0.08y = -0.2 Divide each side by '0.08'. y = -2.5 Simplifying y = -2.5
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