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Simplifying 0.06(y + -9) + 0.08y = 0.18y + -0.2 Reorder the terms: 0.06(-9 + y) + 0.08y = 0.18y + -0.2 (-9 * 0.06 + y * 0.06) + 0.08y = 0.18y + -0.2 (-0.54 + 0.06y) + 0.08y = 0.18y + -0.2 Combine like terms: 0.06y + 0.08y = 0.14y -0.54 + 0.14y = 0.18y + -0.2 Reorder the terms: -0.54 + 0.14y = -0.2 + 0.18y Solving -0.54 + 0.14y = -0.2 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -0.54 + 0.14y + -0.18y = -0.2 + 0.18y + -0.18y Combine like terms: 0.14y + -0.18y = -0.04y -0.54 + -0.04y = -0.2 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.54 + -0.04y = -0.2 + 0.00 -0.54 + -0.04y = -0.2 Add '0.54' to each side of the equation. -0.54 + 0.54 + -0.04y = -0.2 + 0.54 Combine like terms: -0.54 + 0.54 = 0.00 0.00 + -0.04y = -0.2 + 0.54 -0.04y = -0.2 + 0.54 Combine like terms: -0.2 + 0.54 = 0.34 -0.04y = 0.34 Divide each side by '-0.04'. y = -8.5 Simplifying y = -8.5
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