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