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Simplifying 0.04(y + -2) + 0.20y = 0.10y + -0.5 Reorder the terms: 0.04(-2 + y) + 0.20y = 0.10y + -0.5 (-2 * 0.04 + y * 0.04) + 0.20y = 0.10y + -0.5 (-0.08 + 0.04y) + 0.20y = 0.10y + -0.5 Combine like terms: 0.04y + 0.20y = 0.24y -0.08 + 0.24y = 0.10y + -0.5 Reorder the terms: -0.08 + 0.24y = -0.5 + 0.10y Solving -0.08 + 0.24y = -0.5 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -0.08 + 0.24y + -0.10y = -0.5 + 0.10y + -0.10y Combine like terms: 0.24y + -0.10y = 0.14y -0.08 + 0.14y = -0.5 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.08 + 0.14y = -0.5 + 0.00 -0.08 + 0.14y = -0.5 Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.14y = -0.5 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.14y = -0.5 + 0.08 0.14y = -0.5 + 0.08 Combine like terms: -0.5 + 0.08 = -0.42 0.14y = -0.42 Divide each side by '0.14'. y = -3 Simplifying y = -3
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