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Simplifying y(12x + 16z) = x(12y + 14z) (12x * y + 16z * y) = x(12y + 14z) (12xy + 16yz) = x(12y + 14z) 12xy + 16yz = (12y * x + 14z * x) 12xy + 16yz = (12xy + 14xz) Add '-12xy' to each side of the equation. 12xy + -12xy + 16yz = 12xy + -12xy + 14xz Combine like terms: 12xy + -12xy = 0 0 + 16yz = 12xy + -12xy + 14xz 16yz = 12xy + -12xy + 14xz Combine like terms: 12xy + -12xy = 0 16yz = 0 + 14xz 16yz = 14xz Solving 16yz = 14xz Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '16z'. y = 0.875x Simplifying y = 0.875x
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