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Simplifying 3w + 4x + 11y + 6w + 8x + -2Y = 0 Reorder the terms: -2Y + 3w + 6w + 4x + 8x + 11y = 0 Combine like terms: 3w + 6w = 9w -2Y + 9w + 4x + 8x + 11y = 0 Combine like terms: 4x + 8x = 12x -2Y + 9w + 12x + 11y = 0 Solving -2Y + 9w + 12x + 11y = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-9w' to each side of the equation. -2Y + 9w + 12x + -9w + 11y = 0 + -9w Reorder the terms: -2Y + 9w + -9w + 12x + 11y = 0 + -9w Combine like terms: 9w + -9w = 0 -2Y + 0 + 12x + 11y = 0 + -9w -2Y + 12x + 11y = 0 + -9w Remove the zero: -2Y + 12x + 11y = -9w Add '-12x' to each side of the equation. -2Y + 12x + -12x + 11y = -9w + -12x Combine like terms: 12x + -12x = 0 -2Y + 0 + 11y = -9w + -12x -2Y + 11y = -9w + -12x Add '-11y' to each side of the equation. -2Y + 11y + -11y = -9w + -12x + -11y Combine like terms: 11y + -11y = 0 -2Y + 0 = -9w + -12x + -11y -2Y = -9w + -12x + -11y Divide each side by '-2'. Y = 4.5w + 6x + 5.5y Simplifying Y = 4.5w + 6x + 5.5y
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