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Simplifying 3(y + -2) + -4v = 2(v + -9) Reorder the terms: 3(-2 + y) + -4v = 2(v + -9) (-2 * 3 + y * 3) + -4v = 2(v + -9) (-6 + 3y) + -4v = 2(v + -9) Reorder the terms: -6 + -4v + 3y = 2(v + -9) Reorder the terms: -6 + -4v + 3y = 2(-9 + v) -6 + -4v + 3y = (-9 * 2 + v * 2) -6 + -4v + 3y = (-18 + 2v) Solving -6 + -4v + 3y = -18 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -6 + -4v + -2v + 3y = -18 + 2v + -2v Combine like terms: -4v + -2v = -6v -6 + -6v + 3y = -18 + 2v + -2v Combine like terms: 2v + -2v = 0 -6 + -6v + 3y = -18 + 0 -6 + -6v + 3y = -18 Add '6' to each side of the equation. -6 + -6v + 6 + 3y = -18 + 6 Reorder the terms: -6 + 6 + -6v + 3y = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -6v + 3y = -18 + 6 -6v + 3y = -18 + 6 Combine like terms: -18 + 6 = -12 -6v + 3y = -12 Add '-3y' to each side of the equation. -6v + 3y + -3y = -12 + -3y Combine like terms: 3y + -3y = 0 -6v + 0 = -12 + -3y -6v = -12 + -3y Divide each side by '-6'. v = 2 + 0.5y Simplifying v = 2 + 0.5y
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