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Simplifying 4(y + 12) + -1v = 2(v + -1) + 9 Reorder the terms: 4(12 + y) + -1v = 2(v + -1) + 9 (12 * 4 + y * 4) + -1v = 2(v + -1) + 9 (48 + 4y) + -1v = 2(v + -1) + 9 Reorder the terms: 48 + -1v + 4y = 2(v + -1) + 9 Reorder the terms: 48 + -1v + 4y = 2(-1 + v) + 9 48 + -1v + 4y = (-1 * 2 + v * 2) + 9 48 + -1v + 4y = (-2 + 2v) + 9 Reorder the terms: 48 + -1v + 4y = -2 + 9 + 2v Combine like terms: -2 + 9 = 7 48 + -1v + 4y = 7 + 2v Solving 48 + -1v + 4y = 7 + 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. 48 + -1v + -2v + 4y = 7 + 2v + -2v Combine like terms: -1v + -2v = -3v 48 + -3v + 4y = 7 + 2v + -2v Combine like terms: 2v + -2v = 0 48 + -3v + 4y = 7 + 0 48 + -3v + 4y = 7 Add '-48' to each side of the equation. 48 + -3v + -48 + 4y = 7 + -48 Reorder the terms: 48 + -48 + -3v + 4y = 7 + -48 Combine like terms: 48 + -48 = 0 0 + -3v + 4y = 7 + -48 -3v + 4y = 7 + -48 Combine like terms: 7 + -48 = -41 -3v + 4y = -41 Add '-4y' to each side of the equation. -3v + 4y + -4y = -41 + -4y Combine like terms: 4y + -4y = 0 -3v + 0 = -41 + -4y -3v = -41 + -4y Divide each side by '-3'. v = 13.66666667 + 1.333333333y Simplifying v = 13.66666667 + 1.333333333y
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