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Simplifying -1(-5y + w) + 4(5w + y) = 0 Reorder the terms: -1(w + -5y) + 4(5w + y) = 0 (w * -1 + -5y * -1) + 4(5w + y) = 0 (-1w + 5y) + 4(5w + y) = 0 -1w + 5y + (5w * 4 + y * 4) = 0 -1w + 5y + (20w + 4y) = 0 Reorder the terms: -1w + 20w + 5y + 4y = 0 Combine like terms: -1w + 20w = 19w 19w + 5y + 4y = 0 Combine like terms: 5y + 4y = 9y 19w + 9y = 0 Solving 19w + 9y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9y' to each side of the equation. 19w + 9y + -9y = 0 + -9y Combine like terms: 9y + -9y = 0 19w + 0 = 0 + -9y 19w = 0 + -9y Remove the zero: 19w = -9y Divide each side by '19'. w = -0.4736842105y Simplifying w = -0.4736842105y
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