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Simplifying (4y + -7)(2y + -1v + 5) = 0 Reorder the terms: (-7 + 4y)(2y + -1v + 5) = 0 Reorder the terms: (-7 + 4y)(5 + -1v + 2y) = 0 Multiply (-7 + 4y) * (5 + -1v + 2y) (-7(5 + -1v + 2y) + 4y * (5 + -1v + 2y)) = 0 ((5 * -7 + -1v * -7 + 2y * -7) + 4y * (5 + -1v + 2y)) = 0 ((-35 + 7v + -14y) + 4y * (5 + -1v + 2y)) = 0 (-35 + 7v + -14y + (5 * 4y + -1v * 4y + 2y * 4y)) = 0 Reorder the terms: (-35 + 7v + -14y + (-4vy + 20y + 8y2)) = 0 (-35 + 7v + -14y + (-4vy + 20y + 8y2)) = 0 Reorder the terms: (-35 + 7v + -4vy + -14y + 20y + 8y2) = 0 Combine like terms: -14y + 20y = 6y (-35 + 7v + -4vy + 6y + 8y2) = 0 Solving -35 + 7v + -4vy + 6y + 8y2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 7v + -4vy + 6y + 35 + 8y2 = 0 + 35 Reorder the terms: -35 + 35 + 7v + -4vy + 6y + 8y2 = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 7v + -4vy + 6y + 8y2 = 0 + 35 7v + -4vy + 6y + 8y2 = 0 + 35 Combine like terms: 0 + 35 = 35 7v + -4vy + 6y + 8y2 = 35 Add '-6y' to each side of the equation. 7v + -4vy + 6y + -6y + 8y2 = 35 + -6y Combine like terms: 6y + -6y = 0 7v + -4vy + 0 + 8y2 = 35 + -6y 7v + -4vy + 8y2 = 35 + -6y Add '-8y2' to each side of the equation. 7v + -4vy + 8y2 + -8y2 = 35 + -6y + -8y2 Combine like terms: 8y2 + -8y2 = 0 7v + -4vy + 0 = 35 + -6y + -8y2 7v + -4vy = 35 + -6y + -8y2 Reorder the terms: -35 + 7v + -4vy + 6y + 8y2 = 35 + -6y + -8y2 + -35 + 6y + 8y2 Reorder the terms: -35 + 7v + -4vy + 6y + 8y2 = 35 + -35 + -6y + 6y + -8y2 + 8y2 Combine like terms: 35 + -35 = 0 -35 + 7v + -4vy + 6y + 8y2 = 0 + -6y + 6y + -8y2 + 8y2 -35 + 7v + -4vy + 6y + 8y2 = -6y + 6y + -8y2 + 8y2 Combine like terms: -6y + 6y = 0 -35 + 7v + -4vy + 6y + 8y2 = 0 + -8y2 + 8y2 -35 + 7v + -4vy + 6y + 8y2 = -8y2 + 8y2 Combine like terms: -8y2 + 8y2 = 0 -35 + 7v + -4vy + 6y + 8y2 = 0 The solution to this equation could not be determined.
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