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Simplifying -1(-5w + -1y) + 3(-1y + 5w) = 0 (-5w * -1 + -1y * -1) + 3(-1y + 5w) = 0 (5w + 1y) + 3(-1y + 5w) = 0 Reorder the terms: 5w + 1y + 3(5w + -1y) = 0 5w + 1y + (5w * 3 + -1y * 3) = 0 5w + 1y + (15w + -3y) = 0 Reorder the terms: 5w + 15w + 1y + -3y = 0 Combine like terms: 5w + 15w = 20w 20w + 1y + -3y = 0 Combine like terms: 1y + -3y = -2y 20w + -2y = 0 Solving 20w + -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. 20w + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 20w + 0 = 0 + 2y 20w = 0 + 2y Remove the zero: 20w = 2y Divide each side by '20'. w = 0.1y Simplifying w = 0.1y
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