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Simplifying 8z + -5z + 6 + 3y + -2y + -4 = 0 Reorder the terms: 6 + -4 + 3y + -2y + 8z + -5z = 0 Combine like terms: 6 + -4 = 2 2 + 3y + -2y + 8z + -5z = 0 Combine like terms: 3y + -2y = 1y 2 + 1y + 8z + -5z = 0 Combine like terms: 8z + -5z = 3z 2 + 1y + 3z = 0 Solving 2 + 1y + 3z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 1y + -2 + 3z = 0 + -2 Reorder the terms: 2 + -2 + 1y + 3z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1y + 3z = 0 + -2 1y + 3z = 0 + -2 Combine like terms: 0 + -2 = -2 1y + 3z = -2 Add '-3z' to each side of the equation. 1y + 3z + -3z = -2 + -3z Combine like terms: 3z + -3z = 0 1y + 0 = -2 + -3z 1y = -2 + -3z Divide each side by '1'. y = -2 + -3z Simplifying y = -2 + -3z
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