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Simplifying 12y + 2(3 + -1y) = 5 + 10y + 2 12y + (3 * 2 + -1y * 2) = 5 + 10y + 2 12y + (6 + -2y) = 5 + 10y + 2 Reorder the terms: 6 + 12y + -2y = 5 + 10y + 2 Combine like terms: 12y + -2y = 10y 6 + 10y = 5 + 10y + 2 Reorder the terms: 6 + 10y = 5 + 2 + 10y Combine like terms: 5 + 2 = 7 6 + 10y = 7 + 10y Add '-10y' to each side of the equation. 6 + 10y + -10y = 7 + 10y + -10y Combine like terms: 10y + -10y = 0 6 + 0 = 7 + 10y + -10y 6 = 7 + 10y + -10y Combine like terms: 10y + -10y = 0 6 = 7 + 0 6 = 7 Solving 6 = 7 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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