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Simplifying 0.06y + -6 + 0.12y = 0.08y + -0.5 Reorder the terms: -6 + 0.06y + 0.12y = 0.08y + -0.5 Combine like terms: 0.06y + 0.12y = 0.18y -6 + 0.18y = 0.08y + -0.5 Reorder the terms: -6 + 0.18y = -0.5 + 0.08y Solving -6 + 0.18y = -0.5 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -6 + 0.18y + -0.08y = -0.5 + 0.08y + -0.08y Combine like terms: 0.18y + -0.08y = 0.1y -6 + 0.1y = -0.5 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -6 + 0.1y = -0.5 + 0.00 -6 + 0.1y = -0.5 Add '6' to each side of the equation. -6 + 6 + 0.1y = -0.5 + 6 Combine like terms: -6 + 6 = 0 0 + 0.1y = -0.5 + 6 0.1y = -0.5 + 6 Combine like terms: -0.5 + 6 = 5.5 0.1y = 5.5 Divide each side by '0.1'. y = 55 Simplifying y = 55
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