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Simplifying -3z + 8(2 + y) = 0 -3z + (2 * 8 + y * 8) = 0 -3z + (16 + 8y) = 0 Reorder the terms: 16 + 8y + -3z = 0 Solving 16 + 8y + -3z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 8y + -16 + -3z = 0 + -16 Reorder the terms: 16 + -16 + 8y + -3z = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 8y + -3z = 0 + -16 8y + -3z = 0 + -16 Combine like terms: 0 + -16 = -16 8y + -3z = -16 Add '3z' to each side of the equation. 8y + -3z + 3z = -16 + 3z Combine like terms: -3z + 3z = 0 8y + 0 = -16 + 3z 8y = -16 + 3z Divide each side by '8'. y = -2 + 0.375z Simplifying y = -2 + 0.375z
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