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Simplifying 8v + 3y = -6(v + 6) Reorder the terms: 8v + 3y = -6(6 + v) 8v + 3y = (6 * -6 + v * -6) 8v + 3y = (-36 + -6v) Solving 8v + 3y = -36 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 8v + 6v + 3y = -36 + -6v + 6v Combine like terms: 8v + 6v = 14v 14v + 3y = -36 + -6v + 6v Combine like terms: -6v + 6v = 0 14v + 3y = -36 + 0 14v + 3y = -36 Add '-3y' to each side of the equation. 14v + 3y + -3y = -36 + -3y Combine like terms: 3y + -3y = 0 14v + 0 = -36 + -3y 14v = -36 + -3y Divide each side by '14'. v = -2.571428571 + -0.2142857143y Simplifying v = -2.571428571 + -0.2142857143y
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