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