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Simplifying 3(2y + 1) + -2 = 6(y + -2) + 14 Reorder the terms: 3(1 + 2y) + -2 = 6(y + -2) + 14 (1 * 3 + 2y * 3) + -2 = 6(y + -2) + 14 (3 + 6y) + -2 = 6(y + -2) + 14 Reorder the terms: 3 + -2 + 6y = 6(y + -2) + 14 Combine like terms: 3 + -2 = 1 1 + 6y = 6(y + -2) + 14 Reorder the terms: 1 + 6y = 6(-2 + y) + 14 1 + 6y = (-2 * 6 + y * 6) + 14 1 + 6y = (-12 + 6y) + 14 Reorder the terms: 1 + 6y = -12 + 14 + 6y Combine like terms: -12 + 14 = 2 1 + 6y = 2 + 6y Add '-6y' to each side of the equation. 1 + 6y + -6y = 2 + 6y + -6y Combine like terms: 6y + -6y = 0 1 + 0 = 2 + 6y + -6y 1 = 2 + 6y + -6y Combine like terms: 6y + -6y = 0 1 = 2 + 0 1 = 2 Solving 1 = 2 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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