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Simplifying 4y + 12w + 3y + -1(15w + y) = 0 4y + 12w + 3y + (15w * -1 + y * -1) = 0 4y + 12w + 3y + (-15w + -1y) = 0 Reorder the terms: 12w + -15w + 4y + 3y + -1y = 0 Combine like terms: 12w + -15w = -3w -3w + 4y + 3y + -1y = 0 Combine like terms: 4y + 3y = 7y -3w + 7y + -1y = 0 Combine like terms: 7y + -1y = 6y -3w + 6y = 0 Solving -3w + 6y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6y' to each side of the equation. -3w + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 -3w + 0 = 0 + -6y -3w = 0 + -6y Remove the zero: -3w = -6y Divide each side by '-3'. w = 2y Simplifying w = 2y
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