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Simplifying 5(y + -2) = 2(y + -9) + 3y Reorder the terms: 5(-2 + y) = 2(y + -9) + 3y (-2 * 5 + y * 5) = 2(y + -9) + 3y (-10 + 5y) = 2(y + -9) + 3y Reorder the terms: -10 + 5y = 2(-9 + y) + 3y -10 + 5y = (-9 * 2 + y * 2) + 3y -10 + 5y = (-18 + 2y) + 3y Combine like terms: 2y + 3y = 5y -10 + 5y = -18 + 5y Add '-5y' to each side of the equation. -10 + 5y + -5y = -18 + 5y + -5y Combine like terms: 5y + -5y = 0 -10 + 0 = -18 + 5y + -5y -10 = -18 + 5y + -5y Combine like terms: 5y + -5y = 0 -10 = -18 + 0 -10 = -18 Solving -10 = -18 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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