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Simplifying 0.2y + 0.9 = 0.5 + -0.2y Reorder the terms: 0.9 + 0.2y = 0.5 + -0.2y Solving 0.9 + 0.2y = 0.5 + -0.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.2y' to each side of the equation. 0.9 + 0.2y + 0.2y = 0.5 + -0.2y + 0.2y Combine like terms: 0.2y + 0.2y = 0.4y 0.9 + 0.4y = 0.5 + -0.2y + 0.2y Combine like terms: -0.2y + 0.2y = 0.0 0.9 + 0.4y = 0.5 + 0.0 0.9 + 0.4y = 0.5 Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.4y = 0.5 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.4y = 0.5 + -0.9 0.4y = 0.5 + -0.9 Combine like terms: 0.5 + -0.9 = -0.4 0.4y = -0.4 Divide each side by '0.4'. y = -1 Simplifying y = -1
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