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Simplifying 4(v + 1) = -4(y + 7) Reorder the terms: 4(1 + v) = -4(y + 7) (1 * 4 + v * 4) = -4(y + 7) (4 + 4v) = -4(y + 7) Reorder the terms: 4 + 4v = -4(7 + y) 4 + 4v = (7 * -4 + y * -4) 4 + 4v = (-28 + -4y) Solving 4 + 4v = -28 + -4y Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4v = -28 + -4 + -4y Combine like terms: 4 + -4 = 0 0 + 4v = -28 + -4 + -4y 4v = -28 + -4 + -4y Combine like terms: -28 + -4 = -32 4v = -32 + -4y Divide each side by '4'. v = -8 + -1y Simplifying v = -8 + -1y
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