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Simplifying 7(2y + 4) + -1(8y + 5) = 24 + -1(-6y + 3) Reorder the terms: 7(4 + 2y) + -1(8y + 5) = 24 + -1(-6y + 3) (4 * 7 + 2y * 7) + -1(8y + 5) = 24 + -1(-6y + 3) (28 + 14y) + -1(8y + 5) = 24 + -1(-6y + 3) Reorder the terms: 28 + 14y + -1(5 + 8y) = 24 + -1(-6y + 3) 28 + 14y + (5 * -1 + 8y * -1) = 24 + -1(-6y + 3) 28 + 14y + (-5 + -8y) = 24 + -1(-6y + 3) Reorder the terms: 28 + -5 + 14y + -8y = 24 + -1(-6y + 3) Combine like terms: 28 + -5 = 23 23 + 14y + -8y = 24 + -1(-6y + 3) Combine like terms: 14y + -8y = 6y 23 + 6y = 24 + -1(-6y + 3) Reorder the terms: 23 + 6y = 24 + -1(3 + -6y) 23 + 6y = 24 + (3 * -1 + -6y * -1) 23 + 6y = 24 + (-3 + 6y) Combine like terms: 24 + -3 = 21 23 + 6y = 21 + 6y Add '-6y' to each side of the equation. 23 + 6y + -6y = 21 + 6y + -6y Combine like terms: 6y + -6y = 0 23 + 0 = 21 + 6y + -6y 23 = 21 + 6y + -6y Combine like terms: 6y + -6y = 0 23 = 21 + 0 23 = 21 Solving 23 = 21 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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