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Simplifying 7(y + -1) + -2(y + 3) = 5y Reorder the terms: 7(-1 + y) + -2(y + 3) = 5y (-1 * 7 + y * 7) + -2(y + 3) = 5y (-7 + 7y) + -2(y + 3) = 5y Reorder the terms: -7 + 7y + -2(3 + y) = 5y -7 + 7y + (3 * -2 + y * -2) = 5y -7 + 7y + (-6 + -2y) = 5y Reorder the terms: -7 + -6 + 7y + -2y = 5y Combine like terms: -7 + -6 = -13 -13 + 7y + -2y = 5y Combine like terms: 7y + -2y = 5y -13 + 5y = 5y Add '-5y' to each side of the equation. -13 + 5y + -5y = 5y + -5y Combine like terms: 5y + -5y = 0 -13 + 0 = 5y + -5y -13 = 5y + -5y Combine like terms: 5y + -5y = 0 -13 = 0 Solving -13 = 0 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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