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Simplifying 4y + 8y + -6z + 3 = -39 Reorder the terms: 3 + 4y + 8y + -6z = -39 Combine like terms: 4y + 8y = 12y 3 + 12y + -6z = -39 Solving 3 + 12y + -6z = -39 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 12y + -3 + -6z = -39 + -3 Reorder the terms: 3 + -3 + 12y + -6z = -39 + -3 Combine like terms: 3 + -3 = 0 0 + 12y + -6z = -39 + -3 12y + -6z = -39 + -3 Combine like terms: -39 + -3 = -42 12y + -6z = -42 Add '6z' to each side of the equation. 12y + -6z + 6z = -42 + 6z Combine like terms: -6z + 6z = 0 12y + 0 = -42 + 6z 12y = -42 + 6z Divide each side by '12'. y = -3.5 + 0.5z Simplifying y = -3.5 + 0.5z
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