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Simplifying 0.5 + -0.02(y + -2) = 0.16 + 0.36y Reorder the terms: 0.5 + -0.02(-2 + y) = 0.16 + 0.36y 0.5 + (-2 * -0.02 + y * -0.02) = 0.16 + 0.36y 0.5 + (0.04 + -0.02y) = 0.16 + 0.36y Combine like terms: 0.5 + 0.04 = 0.54 0.54 + -0.02y = 0.16 + 0.36y Solving 0.54 + -0.02y = 0.16 + 0.36y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.36y' to each side of the equation. 0.54 + -0.02y + -0.36y = 0.16 + 0.36y + -0.36y Combine like terms: -0.02y + -0.36y = -0.38y 0.54 + -0.38y = 0.16 + 0.36y + -0.36y Combine like terms: 0.36y + -0.36y = 0.00 0.54 + -0.38y = 0.16 + 0.00 0.54 + -0.38y = 0.16 Add '-0.54' to each side of the equation. 0.54 + -0.54 + -0.38y = 0.16 + -0.54 Combine like terms: 0.54 + -0.54 = 0.00 0.00 + -0.38y = 0.16 + -0.54 -0.38y = 0.16 + -0.54 Combine like terms: 0.16 + -0.54 = -0.38 -0.38y = -0.38 Divide each side by '-0.38'. y = 1 Simplifying y = 1
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