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Simplifying 1 = 0.5y + -0.6(1 + -0.5y) 1 = 0.5y + (1 * -0.6 + -0.5y * -0.6) 1 = 0.5y + (-0.6 + 0.3y) Reorder the terms: 1 = -0.6 + 0.5y + 0.3y Combine like terms: 0.5y + 0.3y = 0.8y 1 = -0.6 + 0.8y Solving 1 = -0.6 + 0.8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.8y' to each side of the equation. 1 + -0.8y = -0.6 + 0.8y + -0.8y Combine like terms: 0.8y + -0.8y = 0.0 1 + -0.8y = -0.6 + 0.0 1 + -0.8y = -0.6 Add '-1' to each side of the equation. 1 + -1 + -0.8y = -0.6 + -1 Combine like terms: 1 + -1 = 0 0 + -0.8y = -0.6 + -1 -0.8y = -0.6 + -1 Combine like terms: -0.6 + -1 = -1.6 -0.8y = -1.6 Divide each side by '-0.8'. y = 2 Simplifying y = 2
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