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Simplifying 7y + -1(16 + -2v) = 12 7y + (16 * -1 + -2v * -1) = 12 7y + (-16 + 2v) = 12 Reorder the terms: -16 + 2v + 7y = 12 Solving -16 + 2v + 7y = 12 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 2v + 16 + 7y = 12 + 16 Reorder the terms: -16 + 16 + 2v + 7y = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 2v + 7y = 12 + 16 2v + 7y = 12 + 16 Combine like terms: 12 + 16 = 28 2v + 7y = 28 Add '-7y' to each side of the equation. 2v + 7y + -7y = 28 + -7y Combine like terms: 7y + -7y = 0 2v + 0 = 28 + -7y 2v = 28 + -7y Divide each side by '2'. v = 14 + -3.5y Simplifying v = 14 + -3.5y
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