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Simplifying 5y + 2(3 + -1y) = 5 + 3y + 2 5y + (3 * 2 + -1y * 2) = 5 + 3y + 2 5y + (6 + -2y) = 5 + 3y + 2 Reorder the terms: 6 + 5y + -2y = 5 + 3y + 2 Combine like terms: 5y + -2y = 3y 6 + 3y = 5 + 3y + 2 Reorder the terms: 6 + 3y = 5 + 2 + 3y Combine like terms: 5 + 2 = 7 6 + 3y = 7 + 3y Add '-3y' to each side of the equation. 6 + 3y + -3y = 7 + 3y + -3y Combine like terms: 3y + -3y = 0 6 + 0 = 7 + 3y + -3y 6 = 7 + 3y + -3y Combine like terms: 3y + -3y = 0 6 = 7 + 0 6 = 7 Solving 6 = 7 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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