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Simplifying -6(v + -2) + 3 = 9 + -1(y + 4) Reorder the terms: -6(-2 + v) + 3 = 9 + -1(y + 4) (-2 * -6 + v * -6) + 3 = 9 + -1(y + 4) (12 + -6v) + 3 = 9 + -1(y + 4) Reorder the terms: 12 + 3 + -6v = 9 + -1(y + 4) Combine like terms: 12 + 3 = 15 15 + -6v = 9 + -1(y + 4) Reorder the terms: 15 + -6v = 9 + -1(4 + y) 15 + -6v = 9 + (4 * -1 + y * -1) 15 + -6v = 9 + (-4 + -1y) Combine like terms: 9 + -4 = 5 15 + -6v = 5 + -1y Solving 15 + -6v = 5 + -1y 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 + -15 + -6v = 5 + -15 + -1y Combine like terms: 15 + -15 = 0 0 + -6v = 5 + -15 + -1y -6v = 5 + -15 + -1y Combine like terms: 5 + -15 = -10 -6v = -10 + -1y Divide each side by '-6'. v = 1.666666667 + 0.1666666667y Simplifying v = 1.666666667 + 0.1666666667y
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