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Simplifying 2(y + -1) + 4v = 3(v + -1) + 7 Reorder the terms: 2(-1 + y) + 4v = 3(v + -1) + 7 (-1 * 2 + y * 2) + 4v = 3(v + -1) + 7 (-2 + 2y) + 4v = 3(v + -1) + 7 Reorder the terms: -2 + 4v + 2y = 3(v + -1) + 7 Reorder the terms: -2 + 4v + 2y = 3(-1 + v) + 7 -2 + 4v + 2y = (-1 * 3 + v * 3) + 7 -2 + 4v + 2y = (-3 + 3v) + 7 Reorder the terms: -2 + 4v + 2y = -3 + 7 + 3v Combine like terms: -3 + 7 = 4 -2 + 4v + 2y = 4 + 3v Solving -2 + 4v + 2y = 4 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -2 + 4v + -3v + 2y = 4 + 3v + -3v Combine like terms: 4v + -3v = 1v -2 + 1v + 2y = 4 + 3v + -3v Combine like terms: 3v + -3v = 0 -2 + 1v + 2y = 4 + 0 -2 + 1v + 2y = 4 Add '2' to each side of the equation. -2 + 1v + 2 + 2y = 4 + 2 Reorder the terms: -2 + 2 + 1v + 2y = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 1v + 2y = 4 + 2 1v + 2y = 4 + 2 Combine like terms: 4 + 2 = 6 1v + 2y = 6 Add '-2y' to each side of the equation. 1v + 2y + -2y = 6 + -2y Combine like terms: 2y + -2y = 0 1v + 0 = 6 + -2y 1v = 6 + -2y Divide each side by '1'. v = 6 + -2y Simplifying v = 6 + -2y
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