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Simplifying (2x + 4) + 4(2z + 7x + 9Y) = 0 Reorder the terms: (4 + 2x) + 4(2z + 7x + 9Y) = 0 Remove parenthesis around (4 + 2x) 4 + 2x + 4(2z + 7x + 9Y) = 0 Reorder the terms: 4 + 2x + 4(9Y + 7x + 2z) = 0 4 + 2x + (9Y * 4 + 7x * 4 + 2z * 4) = 0 4 + 2x + (36Y + 28x + 8z) = 0 Reorder the terms: 4 + 36Y + 2x + 28x + 8z = 0 Combine like terms: 2x + 28x = 30x 4 + 36Y + 30x + 8z = 0 Solving 4 + 36Y + 30x + 8z = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 36Y + 30x + -4 + 8z = 0 + -4 Reorder the terms: 4 + -4 + 36Y + 30x + 8z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 36Y + 30x + 8z = 0 + -4 36Y + 30x + 8z = 0 + -4 Combine like terms: 0 + -4 = -4 36Y + 30x + 8z = -4 Add '-30x' to each side of the equation. 36Y + 30x + -30x + 8z = -4 + -30x Combine like terms: 30x + -30x = 0 36Y + 0 + 8z = -4 + -30x 36Y + 8z = -4 + -30x Add '-8z' to each side of the equation. 36Y + 8z + -8z = -4 + -30x + -8z Combine like terms: 8z + -8z = 0 36Y + 0 = -4 + -30x + -8z 36Y = -4 + -30x + -8z Divide each side by '36'. Y = -0.1111111111 + -0.8333333333x + -0.2222222222z Simplifying Y = -0.1111111111 + -0.8333333333x + -0.2222222222z
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