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Simplifying -456 = -6(y + 947) Reorder the terms: -456 = -6(947 + y) -456 = (947 * -6 + y * -6) -456 = (-5682 + -6y) Solving -456 = -5682 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -456 + 6y = -5682 + -6y + 6y Combine like terms: -6y + 6y = 0 -456 + 6y = -5682 + 0 -456 + 6y = -5682 Add '456' to each side of the equation. -456 + 456 + 6y = -5682 + 456 Combine like terms: -456 + 456 = 0 0 + 6y = -5682 + 456 6y = -5682 + 456 Combine like terms: -5682 + 456 = -5226 6y = -5226 Divide each side by '6'. y = -871 Simplifying y = -871
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