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Simplifying 2(3y + 5) = 5(2y + -4) + -4y Reorder the terms: 2(5 + 3y) = 5(2y + -4) + -4y (5 * 2 + 3y * 2) = 5(2y + -4) + -4y (10 + 6y) = 5(2y + -4) + -4y Reorder the terms: 10 + 6y = 5(-4 + 2y) + -4y 10 + 6y = (-4 * 5 + 2y * 5) + -4y 10 + 6y = (-20 + 10y) + -4y Combine like terms: 10y + -4y = 6y 10 + 6y = -20 + 6y Add '-6y' to each side of the equation. 10 + 6y + -6y = -20 + 6y + -6y Combine like terms: 6y + -6y = 0 10 + 0 = -20 + 6y + -6y 10 = -20 + 6y + -6y Combine like terms: 6y + -6y = 0 10 = -20 + 0 10 = -20 Solving 10 = -20 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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