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Simplifying 12 + -1[4 + -2(y + 1)] = 2y + 6 Reorder the terms: 12 + -1[4 + -2(1 + y)] = 2y + 6 12 + -1[4 + (1 * -2 + y * -2)] = 2y + 6 12 + -1[4 + (-2 + -2y)] = 2y + 6 Combine like terms: 4 + -2 = 2 12 + -1[2 + -2y] = 2y + 6 12 + [2 * -1 + -2y * -1] = 2y + 6 12 + [-2 + 2y] = 2y + 6 Combine like terms: 12 + -2 = 10 10 + 2y = 2y + 6 Reorder the terms: 10 + 2y = 6 + 2y Add '-2y' to each side of the equation. 10 + 2y + -2y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 10 + 0 = 6 + 2y + -2y 10 = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 10 = 6 + 0 10 = 6 Solving 10 = 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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