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Simplifying -6y + 14 + 4v = 32 Reorder the terms: 14 + 4v + -6y = 32 Solving 14 + 4v + -6y = 32 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 + 4v + -14 + -6y = 32 + -14 Reorder the terms: 14 + -14 + 4v + -6y = 32 + -14 Combine like terms: 14 + -14 = 0 0 + 4v + -6y = 32 + -14 4v + -6y = 32 + -14 Combine like terms: 32 + -14 = 18 4v + -6y = 18 Add '6y' to each side of the equation. 4v + -6y + 6y = 18 + 6y Combine like terms: -6y + 6y = 0 4v + 0 = 18 + 6y 4v = 18 + 6y Divide each side by '4'. v = 4.5 + 1.5y Simplifying v = 4.5 + 1.5y
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