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Simplifying -1(-4w + -1y) + -6(2y + -6w) = 0 (-4w * -1 + -1y * -1) + -6(2y + -6w) = 0 (4w + 1y) + -6(2y + -6w) = 0 Reorder the terms: 4w + 1y + -6(-6w + 2y) = 0 4w + 1y + (-6w * -6 + 2y * -6) = 0 4w + 1y + (36w + -12y) = 0 Reorder the terms: 4w + 36w + 1y + -12y = 0 Combine like terms: 4w + 36w = 40w 40w + 1y + -12y = 0 Combine like terms: 1y + -12y = -11y 40w + -11y = 0 Solving 40w + -11y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11y' to each side of the equation. 40w + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 40w + 0 = 0 + 11y 40w = 0 + 11y Remove the zero: 40w = 11y Divide each side by '40'. w = 0.275y Simplifying w = 0.275y
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