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Simplifying 2(y + 3) + -6(6y + -7) = -34y + 5 Reorder the terms: 2(3 + y) + -6(6y + -7) = -34y + 5 (3 * 2 + y * 2) + -6(6y + -7) = -34y + 5 (6 + 2y) + -6(6y + -7) = -34y + 5 Reorder the terms: 6 + 2y + -6(-7 + 6y) = -34y + 5 6 + 2y + (-7 * -6 + 6y * -6) = -34y + 5 6 + 2y + (42 + -36y) = -34y + 5 Reorder the terms: 6 + 42 + 2y + -36y = -34y + 5 Combine like terms: 6 + 42 = 48 48 + 2y + -36y = -34y + 5 Combine like terms: 2y + -36y = -34y 48 + -34y = -34y + 5 Reorder the terms: 48 + -34y = 5 + -34y Add '34y' to each side of the equation. 48 + -34y + 34y = 5 + -34y + 34y Combine like terms: -34y + 34y = 0 48 + 0 = 5 + -34y + 34y 48 = 5 + -34y + 34y Combine like terms: -34y + 34y = 0 48 = 5 + 0 48 = 5 Solving 48 = 5 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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