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Simplifying y + y + 5w = 2(y + 3w) Reorder the terms: 5w + y + y = 2(y + 3w) Combine like terms: y + y = 2y 5w + 2y = 2(y + 3w) Reorder the terms: 5w + 2y = 2(3w + y) 5w + 2y = (3w * 2 + y * 2) 5w + 2y = (6w + 2y) Add '-2y' to each side of the equation. 5w + 2y + -2y = 6w + 2y + -2y Combine like terms: 2y + -2y = 0 5w + 0 = 6w + 2y + -2y 5w = 6w + 2y + -2y Combine like terms: 2y + -2y = 0 5w = 6w + 0 5w = 6w Solving 5w = 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 5w + -6w = 6w + -6w Combine like terms: 5w + -6w = -1w -1w = 6w + -6w Combine like terms: 6w + -6w = 0 -1w = 0 Divide each side by '-1'. w = 0 Simplifying w = 0
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