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Simplifying -1(-6w + y) + 4(-1y + -4w) = 0 (-6w * -1 + y * -1) + 4(-1y + -4w) = 0 (6w + -1y) + 4(-1y + -4w) = 0 Reorder the terms: 6w + -1y + 4(-4w + -1y) = 0 6w + -1y + (-4w * 4 + -1y * 4) = 0 6w + -1y + (-16w + -4y) = 0 Reorder the terms: 6w + -16w + -1y + -4y = 0 Combine like terms: 6w + -16w = -10w -10w + -1y + -4y = 0 Combine like terms: -1y + -4y = -5y -10w + -5y = 0 Solving -10w + -5y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5y' to each side of the equation. -10w + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 -10w + 0 = 0 + 5y -10w = 0 + 5y Remove the zero: -10w = 5y Divide each side by '-10'. w = -0.5y Simplifying w = -0.5y
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