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Simplifying 0.3y + 0.8 = 0.5y + 1 Reorder the terms: 0.8 + 0.3y = 0.5y + 1 Reorder the terms: 0.8 + 0.3y = 1 + 0.5y Solving 0.8 + 0.3y = 1 + 0.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5y' to each side of the equation. 0.8 + 0.3y + -0.5y = 1 + 0.5y + -0.5y Combine like terms: 0.3y + -0.5y = -0.2y 0.8 + -0.2y = 1 + 0.5y + -0.5y Combine like terms: 0.5y + -0.5y = 0.0 0.8 + -0.2y = 1 + 0.0 0.8 + -0.2y = 1 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -0.2y = 1 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.2y = 1 + -0.8 -0.2y = 1 + -0.8 Combine like terms: 1 + -0.8 = 0.2 -0.2y = 0.2 Divide each side by '-0.2'. y = -1 Simplifying y = -1
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