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Simplifying 0.8y + -0.4 = 0.9 + -0.5y Reorder the terms: -0.4 + 0.8y = 0.9 + -0.5y Solving -0.4 + 0.8y = 0.9 + -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. -0.4 + 0.8y + 0.5y = 0.9 + -0.5y + 0.5y Combine like terms: 0.8y + 0.5y = 1.3y -0.4 + 1.3y = 0.9 + -0.5y + 0.5y Combine like terms: -0.5y + 0.5y = 0.0 -0.4 + 1.3y = 0.9 + 0.0 -0.4 + 1.3y = 0.9 Add '0.4' to each side of the equation. -0.4 + 0.4 + 1.3y = 0.9 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 1.3y = 0.9 + 0.4 1.3y = 0.9 + 0.4 Combine like terms: 0.9 + 0.4 = 1.3 1.3y = 1.3 Divide each side by '1.3'. y = 1 Simplifying y = 1
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