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Simplifying 3(y + 9) + -8(6y + -5) = -45y + 6 Reorder the terms: 3(9 + y) + -8(6y + -5) = -45y + 6 (9 * 3 + y * 3) + -8(6y + -5) = -45y + 6 (27 + 3y) + -8(6y + -5) = -45y + 6 Reorder the terms: 27 + 3y + -8(-5 + 6y) = -45y + 6 27 + 3y + (-5 * -8 + 6y * -8) = -45y + 6 27 + 3y + (40 + -48y) = -45y + 6 Reorder the terms: 27 + 40 + 3y + -48y = -45y + 6 Combine like terms: 27 + 40 = 67 67 + 3y + -48y = -45y + 6 Combine like terms: 3y + -48y = -45y 67 + -45y = -45y + 6 Reorder the terms: 67 + -45y = 6 + -45y Add '45y' to each side of the equation. 67 + -45y + 45y = 6 + -45y + 45y Combine like terms: -45y + 45y = 0 67 + 0 = 6 + -45y + 45y 67 = 6 + -45y + 45y Combine like terms: -45y + 45y = 0 67 = 6 + 0 67 = 6 Solving 67 = 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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