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Simplifying 0.6y + 6.5 = 0.5(9 + y) Reorder the terms: 6.5 + 0.6y = 0.5(9 + y) 6.5 + 0.6y = (9 * 0.5 + y * 0.5) 6.5 + 0.6y = (4.5 + 0.5y) Solving 6.5 + 0.6y = 4.5 + 0.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.5y' to each side of the equation. 6.5 + 0.6y + -0.5y = 4.5 + 0.5y + -0.5y Combine like terms: 0.6y + -0.5y = 0.1y 6.5 + 0.1y = 4.5 + 0.5y + -0.5y Combine like terms: 0.5y + -0.5y = 0.0 6.5 + 0.1y = 4.5 + 0.0 6.5 + 0.1y = 4.5 Add '-6.5' to each side of the equation. 6.5 + -6.5 + 0.1y = 4.5 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 0.1y = 4.5 + -6.5 0.1y = 4.5 + -6.5 Combine like terms: 4.5 + -6.5 = -2 0.1y = -2 Divide each side by '0.1'. y = -20 Simplifying y = -20
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