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Simplifying -4(4w + y) + -5(6y + -4w) = 0 (4w * -4 + y * -4) + -5(6y + -4w) = 0 (-16w + -4y) + -5(6y + -4w) = 0 Reorder the terms: -16w + -4y + -5(-4w + 6y) = 0 -16w + -4y + (-4w * -5 + 6y * -5) = 0 -16w + -4y + (20w + -30y) = 0 Reorder the terms: -16w + 20w + -4y + -30y = 0 Combine like terms: -16w + 20w = 4w 4w + -4y + -30y = 0 Combine like terms: -4y + -30y = -34y 4w + -34y = 0 Solving 4w + -34y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '34y' to each side of the equation. 4w + -34y + 34y = 0 + 34y Combine like terms: -34y + 34y = 0 4w + 0 = 0 + 34y 4w = 0 + 34y Remove the zero: 4w = 34y Divide each side by '4'. w = 8.5y Simplifying w = 8.5y
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