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Simplifying 0.08(y + -1) + 0.18 = 0.14y + -0.05(10) Reorder the terms: 0.08(-1 + y) + 0.18 = 0.14y + -0.05(10) (-1 * 0.08 + y * 0.08) + 0.18 = 0.14y + -0.05(10) (-0.08 + 0.08y) + 0.18 = 0.14y + -0.05(10) Reorder the terms: -0.08 + 0.18 + 0.08y = 0.14y + -0.05(10) Combine like terms: -0.08 + 0.18 = 0.1 0.1 + 0.08y = 0.14y + -0.05(10) Multiply -0.05 * 10 0.1 + 0.08y = 0.14y + -0.5 Reorder the terms: 0.1 + 0.08y = -0.5 + 0.14y Solving 0.1 + 0.08y = -0.5 + 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. 0.1 + 0.08y + -0.14y = -0.5 + 0.14y + -0.14y Combine like terms: 0.08y + -0.14y = -0.06y 0.1 + -0.06y = -0.5 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 0.1 + -0.06y = -0.5 + 0.00 0.1 + -0.06y = -0.5 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -0.06y = -0.5 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.06y = -0.5 + -0.1 -0.06y = -0.5 + -0.1 Combine like terms: -0.5 + -0.1 = -0.6 -0.06y = -0.6 Divide each side by '-0.06'. y = 10 Simplifying y = 10
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