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Simplifying 0.83y + 1 = 0.33y + 0.55 Reorder the terms: 1 + 0.83y = 0.33y + 0.55 Reorder the terms: 1 + 0.83y = 0.55 + 0.33y Solving 1 + 0.83y = 0.55 + 0.33y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.33y' to each side of the equation. 1 + 0.83y + -0.33y = 0.55 + 0.33y + -0.33y Combine like terms: 0.83y + -0.33y = 0.5y 1 + 0.5y = 0.55 + 0.33y + -0.33y Combine like terms: 0.33y + -0.33y = 0.00 1 + 0.5y = 0.55 + 0.00 1 + 0.5y = 0.55 Add '-1' to each side of the equation. 1 + -1 + 0.5y = 0.55 + -1 Combine like terms: 1 + -1 = 0 0 + 0.5y = 0.55 + -1 0.5y = 0.55 + -1 Combine like terms: 0.55 + -1 = -0.45 0.5y = -0.45 Divide each side by '0.5'. y = -0.9 Simplifying y = -0.9
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