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Simplifying -4(v + -2) = -4(v + -8) + -8y Reorder the terms: -4(-2 + v) = -4(v + -8) + -8y (-2 * -4 + v * -4) = -4(v + -8) + -8y (8 + -4v) = -4(v + -8) + -8y Reorder the terms: 8 + -4v = -4(-8 + v) + -8y 8 + -4v = (-8 * -4 + v * -4) + -8y 8 + -4v = (32 + -4v) + -8y Add '4v' to each side of the equation. 8 + -4v + 4v = 32 + -4v + 4v + -8y Combine like terms: -4v + 4v = 0 8 + 0 = 32 + -4v + 4v + -8y 8 = 32 + -4v + 4v + -8y Combine like terms: -4v + 4v = 0 8 = 32 + 0 + -8y 8 = 32 + -8y Solving 8 = 32 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 8 + 8y = 32 + -8y + 8y Combine like terms: -8y + 8y = 0 8 + 8y = 32 + 0 8 + 8y = 32 Add '-8' to each side of the equation. 8 + -8 + 8y = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 8y = 32 + -8 8y = 32 + -8 Combine like terms: 32 + -8 = 24 8y = 24 Divide each side by '8'. y = 3 Simplifying y = 3
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