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Simplifying (7y + 2)(6y + -4v + 7) = 0 Reorder the terms: (2 + 7y)(6y + -4v + 7) = 0 Reorder the terms: (2 + 7y)(7 + -4v + 6y) = 0 Multiply (2 + 7y) * (7 + -4v + 6y) (2(7 + -4v + 6y) + 7y * (7 + -4v + 6y)) = 0 ((7 * 2 + -4v * 2 + 6y * 2) + 7y * (7 + -4v + 6y)) = 0 ((14 + -8v + 12y) + 7y * (7 + -4v + 6y)) = 0 (14 + -8v + 12y + (7 * 7y + -4v * 7y + 6y * 7y)) = 0 Reorder the terms: (14 + -8v + 12y + (-28vy + 49y + 42y2)) = 0 (14 + -8v + 12y + (-28vy + 49y + 42y2)) = 0 Reorder the terms: (14 + -8v + -28vy + 12y + 49y + 42y2) = 0 Combine like terms: 12y + 49y = 61y (14 + -8v + -28vy + 61y + 42y2) = 0 Solving 14 + -8v + -28vy + 61y + 42y2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -8v + -28vy + 61y + -14 + 42y2 = 0 + -14 Reorder the terms: 14 + -14 + -8v + -28vy + 61y + 42y2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -8v + -28vy + 61y + 42y2 = 0 + -14 -8v + -28vy + 61y + 42y2 = 0 + -14 Combine like terms: 0 + -14 = -14 -8v + -28vy + 61y + 42y2 = -14 Add '-61y' to each side of the equation. -8v + -28vy + 61y + -61y + 42y2 = -14 + -61y Combine like terms: 61y + -61y = 0 -8v + -28vy + 0 + 42y2 = -14 + -61y -8v + -28vy + 42y2 = -14 + -61y Add '-42y2' to each side of the equation. -8v + -28vy + 42y2 + -42y2 = -14 + -61y + -42y2 Combine like terms: 42y2 + -42y2 = 0 -8v + -28vy + 0 = -14 + -61y + -42y2 -8v + -28vy = -14 + -61y + -42y2 Reorder the terms: 14 + -8v + -28vy + 61y + 42y2 = -14 + -61y + -42y2 + 14 + 61y + 42y2 Reorder the terms: 14 + -8v + -28vy + 61y + 42y2 = -14 + 14 + -61y + 61y + -42y2 + 42y2 Combine like terms: -14 + 14 = 0 14 + -8v + -28vy + 61y + 42y2 = 0 + -61y + 61y + -42y2 + 42y2 14 + -8v + -28vy + 61y + 42y2 = -61y + 61y + -42y2 + 42y2 Combine like terms: -61y + 61y = 0 14 + -8v + -28vy + 61y + 42y2 = 0 + -42y2 + 42y2 14 + -8v + -28vy + 61y + 42y2 = -42y2 + 42y2 Combine like terms: -42y2 + 42y2 = 0 14 + -8v + -28vy + 61y + 42y2 = 0 The solution to this equation could not be determined.
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