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Simplifying 5(y + -7) = 2y + 3(y + -2) Reorder the terms: 5(-7 + y) = 2y + 3(y + -2) (-7 * 5 + y * 5) = 2y + 3(y + -2) (-35 + 5y) = 2y + 3(y + -2) Reorder the terms: -35 + 5y = 2y + 3(-2 + y) -35 + 5y = 2y + (-2 * 3 + y * 3) -35 + 5y = 2y + (-6 + 3y) Reorder the terms: -35 + 5y = -6 + 2y + 3y Combine like terms: 2y + 3y = 5y -35 + 5y = -6 + 5y Add '-5y' to each side of the equation. -35 + 5y + -5y = -6 + 5y + -5y Combine like terms: 5y + -5y = 0 -35 + 0 = -6 + 5y + -5y -35 = -6 + 5y + -5y Combine like terms: 5y + -5y = 0 -35 = -6 + 0 -35 = -6 Solving -35 = -6 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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