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Simplifying 0.08(y + -9) + 0.20y = 0.14y + -0.03(10) Reorder the terms: 0.08(-9 + y) + 0.20y = 0.14y + -0.03(10) (-9 * 0.08 + y * 0.08) + 0.20y = 0.14y + -0.03(10) (-0.72 + 0.08y) + 0.20y = 0.14y + -0.03(10) Combine like terms: 0.08y + 0.20y = 0.28y -0.72 + 0.28y = 0.14y + -0.03(10) Multiply -0.03 * 10 -0.72 + 0.28y = 0.14y + -0.3 Reorder the terms: -0.72 + 0.28y = -0.3 + 0.14y Solving -0.72 + 0.28y = -0.3 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -0.72 + 0.28y + -0.14y = -0.3 + 0.14y + -0.14y Combine like terms: 0.28y + -0.14y = 0.14y -0.72 + 0.14y = -0.3 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.72 + 0.14y = -0.3 + 0.00 -0.72 + 0.14y = -0.3 Add '0.72' to each side of the equation. -0.72 + 0.72 + 0.14y = -0.3 + 0.72 Combine like terms: -0.72 + 0.72 = 0.00 0.00 + 0.14y = -0.3 + 0.72 0.14y = -0.3 + 0.72 Combine like terms: -0.3 + 0.72 = 0.42 0.14y = 0.42 Divide each side by '0.14'. y = 3 Simplifying y = 3
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