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Simplifying 4(y + -2) + -2v = -12 Reorder the terms: 4(-2 + y) + -2v = -12 (-2 * 4 + y * 4) + -2v = -12 (-8 + 4y) + -2v = -12 Reorder the terms: -8 + -2v + 4y = -12 Solving -8 + -2v + 4y = -12 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -2v + 8 + 4y = -12 + 8 Reorder the terms: -8 + 8 + -2v + 4y = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -2v + 4y = -12 + 8 -2v + 4y = -12 + 8 Combine like terms: -12 + 8 = -4 -2v + 4y = -4 Add '-4y' to each side of the equation. -2v + 4y + -4y = -4 + -4y Combine like terms: 4y + -4y = 0 -2v + 0 = -4 + -4y -2v = -4 + -4y Divide each side by '-2'. v = 2 + 2y Simplifying v = 2 + 2y
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