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Simplifying 5y + 2z + 2 + (8y + z + 6) = 0 Reorder the terms: 5y + 2z + 2 + (6 + 8y + z) = 0 Remove parenthesis around (6 + 8y + z) 5y + 2z + 2 + 6 + 8y + z = 0 Reorder the terms: 2 + 6 + 5y + 8y + 2z + z = 0 Combine like terms: 2 + 6 = 8 8 + 5y + 8y + 2z + z = 0 Combine like terms: 5y + 8y = 13y 8 + 13y + 2z + z = 0 Combine like terms: 2z + z = 3z 8 + 13y + 3z = 0 Solving 8 + 13y + 3z = 0 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 + 13y + -8 + 3z = 0 + -8 Reorder the terms: 8 + -8 + 13y + 3z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 13y + 3z = 0 + -8 13y + 3z = 0 + -8 Combine like terms: 0 + -8 = -8 13y + 3z = -8 Add '-3z' to each side of the equation. 13y + 3z + -3z = -8 + -3z Combine like terms: 3z + -3z = 0 13y + 0 = -8 + -3z 13y = -8 + -3z Divide each side by '13'. y = -0.6153846154 + -0.2307692308z Simplifying y = -0.6153846154 + -0.2307692308z
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