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Simplifying y(v + -7) + -3 = -5(-3v + 9) + -7v Reorder the terms: y(-7 + v) + -3 = -5(-3v + 9) + -7v (-7 * y + v * y) + -3 = -5(-3v + 9) + -7v Reorder the terms: (vy + -7y) + -3 = -5(-3v + 9) + -7v (vy + -7y) + -3 = -5(-3v + 9) + -7v Reorder the terms: -3 + vy + -7y = -5(-3v + 9) + -7v Reorder the terms: -3 + vy + -7y = -5(9 + -3v) + -7v -3 + vy + -7y = (9 * -5 + -3v * -5) + -7v -3 + vy + -7y = (-45 + 15v) + -7v Combine like terms: 15v + -7v = 8v -3 + vy + -7y = -45 + 8v Solving -3 + vy + -7y = -45 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -3 + vy + -8v + -7y = -45 + 8v + -8v Reorder the terms: -3 + -8v + vy + -7y = -45 + 8v + -8v Combine like terms: 8v + -8v = 0 -3 + -8v + vy + -7y = -45 + 0 -3 + -8v + vy + -7y = -45 Add '3' to each side of the equation. -3 + -8v + vy + 3 + -7y = -45 + 3 Reorder the terms: -3 + 3 + -8v + vy + -7y = -45 + 3 Combine like terms: -3 + 3 = 0 0 + -8v + vy + -7y = -45 + 3 -8v + vy + -7y = -45 + 3 Combine like terms: -45 + 3 = -42 -8v + vy + -7y = -42 Add '7y' to each side of the equation. -8v + vy + -7y + 7y = -42 + 7y Combine like terms: -7y + 7y = 0 -8v + vy + 0 = -42 + 7y -8v + vy = -42 + 7y Reorder the terms: 42 + -8v + vy + -7y = -42 + 7y + 42 + -7y Reorder the terms: 42 + -8v + vy + -7y = -42 + 42 + 7y + -7y Combine like terms: -42 + 42 = 0 42 + -8v + vy + -7y = 0 + 7y + -7y 42 + -8v + vy + -7y = 7y + -7y Combine like terms: 7y + -7y = 0 42 + -8v + vy + -7y = 0 The solution to this equation could not be determined.
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