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Simplifying 6y + 13 = 27 + -0.5y Reorder the terms: 13 + 6y = 27 + -0.5y Solving 13 + 6y = 27 + -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. 13 + 6y + 0.5y = 27 + -0.5y + 0.5y Combine like terms: 6y + 0.5y = 6.5y 13 + 6.5y = 27 + -0.5y + 0.5y Combine like terms: -0.5y + 0.5y = 0.0 13 + 6.5y = 27 + 0.0 13 + 6.5y = 27 Add '-13' to each side of the equation. 13 + -13 + 6.5y = 27 + -13 Combine like terms: 13 + -13 = 0 0 + 6.5y = 27 + -13 6.5y = 27 + -13 Combine like terms: 27 + -13 = 14 6.5y = 14 Divide each side by '6.5'. y = 2.153846154 Simplifying y = 2.153846154
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