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Simplifying 5y + -3(6v + -4) + -7y + 12v + 3 = 0 Reorder the terms: 5y + -3(-4 + 6v) + -7y + 12v + 3 = 0 5y + (-4 * -3 + 6v * -3) + -7y + 12v + 3 = 0 5y + (12 + -18v) + -7y + 12v + 3 = 0 Reorder the terms: 12 + 3 + -18v + 12v + 5y + -7y = 0 Combine like terms: 12 + 3 = 15 15 + -18v + 12v + 5y + -7y = 0 Combine like terms: -18v + 12v = -6v 15 + -6v + 5y + -7y = 0 Combine like terms: 5y + -7y = -2y 15 + -6v + -2y = 0 Solving 15 + -6v + -2y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -6v + -15 + -2y = 0 + -15 Reorder the terms: 15 + -15 + -6v + -2y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -6v + -2y = 0 + -15 -6v + -2y = 0 + -15 Combine like terms: 0 + -15 = -15 -6v + -2y = -15 Add '2y' to each side of the equation. -6v + -2y + 2y = -15 + 2y Combine like terms: -2y + 2y = 0 -6v + 0 = -15 + 2y -6v = -15 + 2y Divide each side by '-6'. v = 2.5 + -0.3333333333y Simplifying v = 2.5 + -0.3333333333y
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