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Simplifying 0.5y + 9 = 0.1y Reorder the terms: 9 + 0.5y = 0.1y Solving 9 + 0.5y = 0.1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.1y' to each side of the equation. 9 + 0.5y + -0.1y = 0.1y + -0.1y Combine like terms: 0.5y + -0.1y = 0.4y 9 + 0.4y = 0.1y + -0.1y Combine like terms: 0.1y + -0.1y = 0.0 9 + 0.4y = 0.0 Add '-9' to each side of the equation. 9 + -9 + 0.4y = 0.0 + -9 Combine like terms: 9 + -9 = 0 0 + 0.4y = 0.0 + -9 0.4y = 0.0 + -9 Combine like terms: 0.0 + -9 = -9 0.4y = -9 Divide each side by '0.4'. y = -22.5 Simplifying y = -22.5
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