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Simplifying 0.04(y + -2) + 0.20y = 0.16y + -0.3 Reorder the terms: 0.04(-2 + y) + 0.20y = 0.16y + -0.3 (-2 * 0.04 + y * 0.04) + 0.20y = 0.16y + -0.3 (-0.08 + 0.04y) + 0.20y = 0.16y + -0.3 Combine like terms: 0.04y + 0.20y = 0.24y -0.08 + 0.24y = 0.16y + -0.3 Reorder the terms: -0.08 + 0.24y = -0.3 + 0.16y Solving -0.08 + 0.24y = -0.3 + 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. -0.08 + 0.24y + -0.16y = -0.3 + 0.16y + -0.16y Combine like terms: 0.24y + -0.16y = 0.08y -0.08 + 0.08y = -0.3 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.08 + 0.08y = -0.3 + 0.00 -0.08 + 0.08y = -0.3 Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.08y = -0.3 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.08y = -0.3 + 0.08 0.08y = -0.3 + 0.08 Combine like terms: -0.3 + 0.08 = -0.22 0.08y = -0.22 Divide each side by '0.08'. y = -2.75 Simplifying y = -2.75
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