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Simplifying 5w + 8 + -1y = 6w + -2(w + -4) Reorder the terms: 8 + 5w + -1y = 6w + -2(w + -4) Reorder the terms: 8 + 5w + -1y = 6w + -2(-4 + w) 8 + 5w + -1y = 6w + (-4 * -2 + w * -2) 8 + 5w + -1y = 6w + (8 + -2w) Reorder the terms: 8 + 5w + -1y = 8 + 6w + -2w Combine like terms: 6w + -2w = 4w 8 + 5w + -1y = 8 + 4w Add '-8' to each side of the equation. 8 + 5w + -8 + -1y = 8 + -8 + 4w Reorder the terms: 8 + -8 + 5w + -1y = 8 + -8 + 4w Combine like terms: 8 + -8 = 0 0 + 5w + -1y = 8 + -8 + 4w 5w + -1y = 8 + -8 + 4w Combine like terms: 8 + -8 = 0 5w + -1y = 0 + 4w 5w + -1y = 4w Solving 5w + -1y = 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 5w + -4w + -1y = 4w + -4w Combine like terms: 5w + -4w = 1w 1w + -1y = 4w + -4w Combine like terms: 4w + -4w = 0 1w + -1y = 0 Add 'y' to each side of the equation. 1w + -1y + y = 0 + y Combine like terms: -1y + y = 0 1w + 0 = 0 + y 1w = 0 + y Remove the zero: 1w = y Divide each side by '1'. w = y Simplifying w = y
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