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Simplifying 8y + -4(v + 8) = 8 Reorder the terms: 8y + -4(8 + v) = 8 8y + (8 * -4 + v * -4) = 8 8y + (-32 + -4v) = 8 Reorder the terms: -32 + -4v + 8y = 8 Solving -32 + -4v + 8y = 8 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '32' to each side of the equation. -32 + -4v + 32 + 8y = 8 + 32 Reorder the terms: -32 + 32 + -4v + 8y = 8 + 32 Combine like terms: -32 + 32 = 0 0 + -4v + 8y = 8 + 32 -4v + 8y = 8 + 32 Combine like terms: 8 + 32 = 40 -4v + 8y = 40 Add '-8y' to each side of the equation. -4v + 8y + -8y = 40 + -8y Combine like terms: 8y + -8y = 0 -4v + 0 = 40 + -8y -4v = 40 + -8y Divide each side by '-4'. v = -10 + 2y Simplifying v = -10 + 2y
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