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Simplifying 49x + -1y + -7(7x + -7y + 4z) = 0 49x + -1y + (7x * -7 + -7y * -7 + 4z * -7) = 0 49x + -1y + (-49x + 49y + -28z) = 0 Reorder the terms: 49x + -49x + -1y + 49y + -28z = 0 Combine like terms: 49x + -49x = 0 0 + -1y + 49y + -28z = 0 -1y + 49y + -28z = 0 Combine like terms: -1y + 49y = 48y 48y + -28z = 0 Solving 48y + -28z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '28z' to each side of the equation. 48y + -28z + 28z = 0 + 28z Combine like terms: -28z + 28z = 0 48y + 0 = 0 + 28z 48y = 0 + 28z Remove the zero: 48y = 28z Divide each side by '48'. y = 0.5833333333z Simplifying y = 0.5833333333z
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