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Simplifying 0.06(y + -9) + 0.18y = 0.14y + -0.01(30) Reorder the terms: 0.06(-9 + y) + 0.18y = 0.14y + -0.01(30) (-9 * 0.06 + y * 0.06) + 0.18y = 0.14y + -0.01(30) (-0.54 + 0.06y) + 0.18y = 0.14y + -0.01(30) Combine like terms: 0.06y + 0.18y = 0.24y -0.54 + 0.24y = 0.14y + -0.01(30) Multiply -0.01 * 30 -0.54 + 0.24y = 0.14y + -0.3 Reorder the terms: -0.54 + 0.24y = -0.3 + 0.14y Solving -0.54 + 0.24y = -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. -0.54 + 0.24y + -0.14y = -0.3 + 0.14y + -0.14y Combine like terms: 0.24y + -0.14y = 0.1y -0.54 + 0.1y = -0.3 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.54 + 0.1y = -0.3 + 0.00 -0.54 + 0.1y = -0.3 Add '0.54' to each side of the equation. -0.54 + 0.54 + 0.1y = -0.3 + 0.54 Combine like terms: -0.54 + 0.54 = 0.00 0.00 + 0.1y = -0.3 + 0.54 0.1y = -0.3 + 0.54 Combine like terms: -0.3 + 0.54 = 0.24 0.1y = 0.24 Divide each side by '0.1'. y = 2.4 Simplifying y = 2.4
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