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Simplifying (2y + 1) * 2 = 8 + 2(2y + 1) Reorder the terms: (1 + 2y) * 2 = 8 + 2(2y + 1) Reorder the terms for easier multiplication: 2(1 + 2y) = 8 + 2(2y + 1) (1 * 2 + 2y * 2) = 8 + 2(2y + 1) (2 + 4y) = 8 + 2(2y + 1) Reorder the terms: 2 + 4y = 8 + 2(1 + 2y) 2 + 4y = 8 + (1 * 2 + 2y * 2) 2 + 4y = 8 + (2 + 4y) Combine like terms: 8 + 2 = 10 2 + 4y = 10 + 4y Add '-4y' to each side of the equation. 2 + 4y + -4y = 10 + 4y + -4y Combine like terms: 4y + -4y = 0 2 + 0 = 10 + 4y + -4y 2 = 10 + 4y + -4y Combine like terms: 4y + -4y = 0 2 = 10 + 0 2 = 10 Solving 2 = 10 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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