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Simplifying 0.18(y + -3) + 0.06y = 0.14y + -0.03(10) Reorder the terms: 0.18(-3 + y) + 0.06y = 0.14y + -0.03(10) (-3 * 0.18 + y * 0.18) + 0.06y = 0.14y + -0.03(10) (-0.54 + 0.18y) + 0.06y = 0.14y + -0.03(10) Combine like terms: 0.18y + 0.06y = 0.24y -0.54 + 0.24y = 0.14y + -0.03(10) Multiply -0.03 * 10 -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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