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Simplifying 0.5(y + 2) + -0.3 = 0.4 + 0.5 Reorder the terms: 0.5(2 + y) + -0.3 = 0.4 + 0.5 (2 * 0.5 + y * 0.5) + -0.3 = 0.4 + 0.5 (1 + 0.5y) + -0.3 = 0.4 + 0.5 Reorder the terms: 1 + -0.3 + 0.5y = 0.4 + 0.5 Combine like terms: 1 + -0.3 = 0.7 0.7 + 0.5y = 0.4 + 0.5 Combine like terms: 0.4 + 0.5 = 0.9 0.7 + 0.5y = 0.9 Solving 0.7 + 0.5y = 0.9 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + 0.5y = 0.9 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.5y = 0.9 + -0.7 0.5y = 0.9 + -0.7 Combine like terms: 0.9 + -0.7 = 0.2 0.5y = 0.2 Divide each side by '0.5'. y = 0.4 Simplifying y = 0.4
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