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Simplifying 10z + 4 + -6y + -4z + 7 = 0 Reorder the terms: 4 + 7 + -6y + 10z + -4z = 0 Combine like terms: 4 + 7 = 11 11 + -6y + 10z + -4z = 0 Combine like terms: 10z + -4z = 6z 11 + -6y + 6z = 0 Solving 11 + -6y + 6z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -6y + -11 + 6z = 0 + -11 Reorder the terms: 11 + -11 + -6y + 6z = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -6y + 6z = 0 + -11 -6y + 6z = 0 + -11 Combine like terms: 0 + -11 = -11 -6y + 6z = -11 Add '-6z' to each side of the equation. -6y + 6z + -6z = -11 + -6z Combine like terms: 6z + -6z = 0 -6y + 0 = -11 + -6z -6y = -11 + -6z Divide each side by '-6'. y = 1.833333333 + z Simplifying y = 1.833333333 + z
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