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Simplifying 8 + 2y + 3z = 100 Solving 8 + 2y + 3z = 100 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 2y + -8 + 3z = 100 + -8 Reorder the terms: 8 + -8 + 2y + 3z = 100 + -8 Combine like terms: 8 + -8 = 0 0 + 2y + 3z = 100 + -8 2y + 3z = 100 + -8 Combine like terms: 100 + -8 = 92 2y + 3z = 92 Add '-3z' to each side of the equation. 2y + 3z + -3z = 92 + -3z Combine like terms: 3z + -3z = 0 2y + 0 = 92 + -3z 2y = 92 + -3z Divide each side by '2'. y = 46 + -1.5z Simplifying y = 46 + -1.5z
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