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Simplifying 0.1y + 5 = 0.45y + 12 Reorder the terms: 5 + 0.1y = 0.45y + 12 Reorder the terms: 5 + 0.1y = 12 + 0.45y Solving 5 + 0.1y = 12 + 0.45y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.45y' to each side of the equation. 5 + 0.1y + -0.45y = 12 + 0.45y + -0.45y Combine like terms: 0.1y + -0.45y = -0.35y 5 + -0.35y = 12 + 0.45y + -0.45y Combine like terms: 0.45y + -0.45y = 0.00 5 + -0.35y = 12 + 0.00 5 + -0.35y = 12 Add '-5' to each side of the equation. 5 + -5 + -0.35y = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -0.35y = 12 + -5 -0.35y = 12 + -5 Combine like terms: 12 + -5 = 7 -0.35y = 7 Divide each side by '-0.35'. y = -20 Simplifying y = -20
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