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Simplifying -1(-5w + y) + -5(-1y + 3w) = 0 (-5w * -1 + y * -1) + -5(-1y + 3w) = 0 (5w + -1y) + -5(-1y + 3w) = 0 Reorder the terms: 5w + -1y + -5(3w + -1y) = 0 5w + -1y + (3w * -5 + -1y * -5) = 0 5w + -1y + (-15w + 5y) = 0 Reorder the terms: 5w + -15w + -1y + 5y = 0 Combine like terms: 5w + -15w = -10w -10w + -1y + 5y = 0 Combine like terms: -1y + 5y = 4y -10w + 4y = 0 Solving -10w + 4y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4y' to each side of the equation. -10w + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 -10w + 0 = 0 + -4y -10w = 0 + -4y Remove the zero: -10w = -4y Divide each side by '-10'. w = 0.4y Simplifying w = 0.4y
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