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Simplifying -4(-2w + y) + 6(2y + -4w) = 0 (-2w * -4 + y * -4) + 6(2y + -4w) = 0 (8w + -4y) + 6(2y + -4w) = 0 Reorder the terms: 8w + -4y + 6(-4w + 2y) = 0 8w + -4y + (-4w * 6 + 2y * 6) = 0 8w + -4y + (-24w + 12y) = 0 Reorder the terms: 8w + -24w + -4y + 12y = 0 Combine like terms: 8w + -24w = -16w -16w + -4y + 12y = 0 Combine like terms: -4y + 12y = 8y -16w + 8y = 0 Solving -16w + 8y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8y' to each side of the equation. -16w + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 -16w + 0 = 0 + -8y -16w = 0 + -8y Remove the zero: -16w = -8y Divide each side by '-16'. w = 0.5y Simplifying w = 0.5y
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