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Simplifying 8 = 8v + -4(y + 9) Reorder the terms: 8 = 8v + -4(9 + y) 8 = 8v + (9 * -4 + y * -4) 8 = 8v + (-36 + -4y) Reorder the terms: 8 = -36 + 8v + -4y Solving 8 = -36 + 8v + -4y 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. 8 + -8v = -36 + 8v + -8v + -4y Combine like terms: 8v + -8v = 0 8 + -8v = -36 + 0 + -4y 8 + -8v = -36 + -4y Add '-8' to each side of the equation. 8 + -8 + -8v = -36 + -8 + -4y Combine like terms: 8 + -8 = 0 0 + -8v = -36 + -8 + -4y -8v = -36 + -8 + -4y Combine like terms: -36 + -8 = -44 -8v = -44 + -4y Divide each side by '-8'. v = 5.5 + 0.5y Simplifying v = 5.5 + 0.5y
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