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Simplifying 8z + -4y + 6 = 4x + 9y + -3z Reorder the terms: 6 + -4y + 8z = 4x + 9y + -3z Solving 6 + -4y + 8z = 4x + 9y + -3z Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 6 + -4y + -9y + 8z = 4x + 9y + -9y + -3z Combine like terms: -4y + -9y = -13y 6 + -13y + 8z = 4x + 9y + -9y + -3z Combine like terms: 9y + -9y = 0 6 + -13y + 8z = 4x + 0 + -3z 6 + -13y + 8z = 4x + -3z Add '-6' to each side of the equation. 6 + -13y + -6 + 8z = 4x + -6 + -3z Reorder the terms: 6 + -6 + -13y + 8z = 4x + -6 + -3z Combine like terms: 6 + -6 = 0 0 + -13y + 8z = 4x + -6 + -3z -13y + 8z = 4x + -6 + -3z Reorder the terms: -13y + 8z = -6 + 4x + -3z Add '-8z' to each side of the equation. -13y + 8z + -8z = -6 + 4x + -3z + -8z Combine like terms: 8z + -8z = 0 -13y + 0 = -6 + 4x + -3z + -8z -13y = -6 + 4x + -3z + -8z Combine like terms: -3z + -8z = -11z -13y = -6 + 4x + -11z Divide each side by '-13'. y = 0.4615384615 + -0.3076923077x + 0.8461538462z Simplifying y = 0.4615384615 + -0.3076923077x + 0.8461538462z
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