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Simplifying 5y + 2 = 0.5(10y + 5) Reorder the terms: 2 + 5y = 0.5(10y + 5) Reorder the terms: 2 + 5y = 0.5(5 + 10y) 2 + 5y = (5 * 0.5 + 10y * 0.5) 2 + 5y = (2.5 + 5y) Add '-5y' to each side of the equation. 2 + 5y + -5y = 2.5 + 5y + -5y Combine like terms: 5y + -5y = 0 2 + 0 = 2.5 + 5y + -5y 2 = 2.5 + 5y + -5y Combine like terms: 5y + -5y = 0 2 = 2.5 + 0 2 = 2.5 Solving 2 = 2.5 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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