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Simplifying -1(-3y + w) + -1(-5w + y) = 0 Reorder the terms: -1(w + -3y) + -1(-5w + y) = 0 (w * -1 + -3y * -1) + -1(-5w + y) = 0 (-1w + 3y) + -1(-5w + y) = 0 -1w + 3y + (-5w * -1 + y * -1) = 0 -1w + 3y + (5w + -1y) = 0 Reorder the terms: -1w + 5w + 3y + -1y = 0 Combine like terms: -1w + 5w = 4w 4w + 3y + -1y = 0 Combine like terms: 3y + -1y = 2y 4w + 2y = 0 Solving 4w + 2y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2y' to each side of the equation. 4w + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 4w + 0 = 0 + -2y 4w = 0 + -2y Remove the zero: 4w = -2y Divide each side by '4'. w = -0.5y Simplifying w = -0.5y
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