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Simplifying z + -7y + 4(3z + 2y) = 0 Reorder the terms: z + -7y + 4(2y + 3z) = 0 z + -7y + (2y * 4 + 3z * 4) = 0 z + -7y + (8y + 12z) = 0 Reorder the terms: -7y + 8y + z + 12z = 0 Combine like terms: -7y + 8y = 1y 1y + z + 12z = 0 Combine like terms: z + 12z = 13z 1y + 13z = 0 Solving 1y + 13z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13z' to each side of the equation. 1y + 13z + -13z = 0 + -13z Combine like terms: 13z + -13z = 0 1y + 0 = 0 + -13z 1y = 0 + -13z Remove the zero: 1y = -13z Divide each side by '1'. y = -13z Simplifying y = -13z
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