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Simplifying 0.3y + 0.9 = 0.1 + -0.5y Reorder the terms: 0.9 + 0.3y = 0.1 + -0.5y Solving 0.9 + 0.3y = 0.1 + -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. 0.9 + 0.3y + 0.5y = 0.1 + -0.5y + 0.5y Combine like terms: 0.3y + 0.5y = 0.8y 0.9 + 0.8y = 0.1 + -0.5y + 0.5y Combine like terms: -0.5y + 0.5y = 0.0 0.9 + 0.8y = 0.1 + 0.0 0.9 + 0.8y = 0.1 Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.8y = 0.1 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.8y = 0.1 + -0.9 0.8y = 0.1 + -0.9 Combine like terms: 0.1 + -0.9 = -0.8 0.8y = -0.8 Divide each side by '0.8'. y = -1 Simplifying y = -1
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