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Simplifying -4(5y + w) + -1(-2w + y) = 0 Reorder the terms: -4(w + 5y) + -1(-2w + y) = 0 (w * -4 + 5y * -4) + -1(-2w + y) = 0 (-4w + -20y) + -1(-2w + y) = 0 -4w + -20y + (-2w * -1 + y * -1) = 0 -4w + -20y + (2w + -1y) = 0 Reorder the terms: -4w + 2w + -20y + -1y = 0 Combine like terms: -4w + 2w = -2w -2w + -20y + -1y = 0 Combine like terms: -20y + -1y = -21y -2w + -21y = 0 Solving -2w + -21y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '21y' to each side of the equation. -2w + -21y + 21y = 0 + 21y Combine like terms: -21y + 21y = 0 -2w + 0 = 0 + 21y -2w = 0 + 21y Remove the zero: -2w = 21y Divide each side by '-2'. w = -10.5y Simplifying w = -10.5y
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