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Simplifying 8x + 3y + 7z + -4x + 3z + -4Y = 0 Reorder the terms: -4Y + 8x + -4x + 3y + 7z + 3z = 0 Combine like terms: 8x + -4x = 4x -4Y + 4x + 3y + 7z + 3z = 0 Combine like terms: 7z + 3z = 10z -4Y + 4x + 3y + 10z = 0 Solving -4Y + 4x + 3y + 10z = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-4x' to each side of the equation. -4Y + 4x + 3y + -4x + 10z = 0 + -4x Reorder the terms: -4Y + 4x + -4x + 3y + 10z = 0 + -4x Combine like terms: 4x + -4x = 0 -4Y + 0 + 3y + 10z = 0 + -4x -4Y + 3y + 10z = 0 + -4x Remove the zero: -4Y + 3y + 10z = -4x Add '-3y' to each side of the equation. -4Y + 3y + -3y + 10z = -4x + -3y Combine like terms: 3y + -3y = 0 -4Y + 0 + 10z = -4x + -3y -4Y + 10z = -4x + -3y Add '-10z' to each side of the equation. -4Y + 10z + -10z = -4x + -3y + -10z Combine like terms: 10z + -10z = 0 -4Y + 0 = -4x + -3y + -10z -4Y = -4x + -3y + -10z Divide each side by '-4'. Y = x + 0.75y + 2.5z Simplifying Y = x + 0.75y + 2.5z
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