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Simplifying 2(5 + -3y) + 9v = 28 (5 * 2 + -3y * 2) + 9v = 28 (10 + -6y) + 9v = 28 Reorder the terms: 10 + 9v + -6y = 28 Solving 10 + 9v + -6y = 28 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 9v + -10 + -6y = 28 + -10 Reorder the terms: 10 + -10 + 9v + -6y = 28 + -10 Combine like terms: 10 + -10 = 0 0 + 9v + -6y = 28 + -10 9v + -6y = 28 + -10 Combine like terms: 28 + -10 = 18 9v + -6y = 18 Add '6y' to each side of the equation. 9v + -6y + 6y = 18 + 6y Combine like terms: -6y + 6y = 0 9v + 0 = 18 + 6y 9v = 18 + 6y Divide each side by '9'. v = 2 + 0.6666666667y Simplifying v = 2 + 0.6666666667y
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