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Simplifying 0.5y + 7 = 5(0.2 + 1.5y) Reorder the terms: 7 + 0.5y = 5(0.2 + 1.5y) 7 + 0.5y = (0.2 * 5 + 1.5y * 5) 7 + 0.5y = (1 + 7.5y) Solving 7 + 0.5y = 1 + 7.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7.5y' to each side of the equation. 7 + 0.5y + -7.5y = 1 + 7.5y + -7.5y Combine like terms: 0.5y + -7.5y = -7y 7 + -7y = 1 + 7.5y + -7.5y Combine like terms: 7.5y + -7.5y = 0.0 7 + -7y = 1 + 0.0 7 + -7y = 1 Add '-7' to each side of the equation. 7 + -7 + -7y = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -7y = 1 + -7 -7y = 1 + -7 Combine like terms: 1 + -7 = -6 -7y = -6 Divide each side by '-7'. y = 0.8571428571 Simplifying y = 0.8571428571
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