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Simplifying 0.04(y + -9) + 0.20y = 0.10y + -0.05(10) Reorder the terms: 0.04(-9 + y) + 0.20y = 0.10y + -0.05(10) (-9 * 0.04 + y * 0.04) + 0.20y = 0.10y + -0.05(10) (-0.36 + 0.04y) + 0.20y = 0.10y + -0.05(10) Combine like terms: 0.04y + 0.20y = 0.24y -0.36 + 0.24y = 0.10y + -0.05(10) Multiply -0.05 * 10 -0.36 + 0.24y = 0.10y + -0.5 Reorder the terms: -0.36 + 0.24y = -0.5 + 0.10y Solving -0.36 + 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. -0.36 + 0.24y + -0.10y = -0.5 + 0.10y + -0.10y Combine like terms: 0.24y + -0.10y = 0.14y -0.36 + 0.14y = -0.5 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.36 + 0.14y = -0.5 + 0.00 -0.36 + 0.14y = -0.5 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.14y = -0.5 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.14y = -0.5 + 0.36 0.14y = -0.5 + 0.36 Combine like terms: -0.5 + 0.36 = -0.14 0.14y = -0.14 Divide each side by '0.14'. y = -1 Simplifying y = -1
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