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Simplifying 5(v + 2) = -2(7v + -2) + 7y Reorder the terms: 5(2 + v) = -2(7v + -2) + 7y (2 * 5 + v * 5) = -2(7v + -2) + 7y (10 + 5v) = -2(7v + -2) + 7y Reorder the terms: 10 + 5v = -2(-2 + 7v) + 7y 10 + 5v = (-2 * -2 + 7v * -2) + 7y 10 + 5v = (4 + -14v) + 7y Solving 10 + 5v = 4 + -14v + 7y Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. 10 + 5v + 14v = 4 + -14v + 14v + 7y Combine like terms: 5v + 14v = 19v 10 + 19v = 4 + -14v + 14v + 7y Combine like terms: -14v + 14v = 0 10 + 19v = 4 + 0 + 7y 10 + 19v = 4 + 7y Add '-10' to each side of the equation. 10 + -10 + 19v = 4 + -10 + 7y Combine like terms: 10 + -10 = 0 0 + 19v = 4 + -10 + 7y 19v = 4 + -10 + 7y Combine like terms: 4 + -10 = -6 19v = -6 + 7y Divide each side by '19'. v = -0.3157894737 + 0.3684210526y Simplifying v = -0.3157894737 + 0.3684210526y
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