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Simplifying y + 5.5 = 0.5(y + 3) Reorder the terms: 5.5 + y = 0.5(y + 3) Reorder the terms: 5.5 + y = 0.5(3 + y) 5.5 + y = (3 * 0.5 + y * 0.5) 5.5 + y = (1.5 + 0.5y) Solving 5.5 + y = 1.5 + 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. 5.5 + y + -0.5y = 1.5 + 0.5y + -0.5y Combine like terms: y + -0.5y = 0.5y 5.5 + 0.5y = 1.5 + 0.5y + -0.5y Combine like terms: 0.5y + -0.5y = 0.0 5.5 + 0.5y = 1.5 + 0.0 5.5 + 0.5y = 1.5 Add '-5.5' to each side of the equation. 5.5 + -5.5 + 0.5y = 1.5 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + 0.5y = 1.5 + -5.5 0.5y = 1.5 + -5.5 Combine like terms: 1.5 + -5.5 = -4 0.5y = -4 Divide each side by '0.5'. y = -8 Simplifying y = -8
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