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Simplifying 5y + 3 = 7y + -1(2y + 1) Reorder the terms: 3 + 5y = 7y + -1(2y + 1) Reorder the terms: 3 + 5y = 7y + -1(1 + 2y) 3 + 5y = 7y + (1 * -1 + 2y * -1) 3 + 5y = 7y + (-1 + -2y) Reorder the terms: 3 + 5y = -1 + 7y + -2y Combine like terms: 7y + -2y = 5y 3 + 5y = -1 + 5y Add '-5y' to each side of the equation. 3 + 5y + -5y = -1 + 5y + -5y Combine like terms: 5y + -5y = 0 3 + 0 = -1 + 5y + -5y 3 = -1 + 5y + -5y Combine like terms: 5y + -5y = 0 3 = -1 + 0 3 = -1 Solving 3 = -1 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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