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