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Simplifying 3x + 2iy = 6 + 10iy Reorder the terms: 2iy + 3x = 6 + 10iy Solving 2iy + 3x = 6 + 10iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10iy' to each side of the equation. 2iy + -10iy + 3x = 6 + 10iy + -10iy Combine like terms: 2iy + -10iy = -8iy -8iy + 3x = 6 + 10iy + -10iy Combine like terms: 10iy + -10iy = 0 -8iy + 3x = 6 + 0 -8iy + 3x = 6 Add '-3x' to each side of the equation. -8iy + 3x + -3x = 6 + -3x Combine like terms: 3x + -3x = 0 -8iy + 0 = 6 + -3x -8iy = 6 + -3x Divide each side by '-8y'. i = -0.75y-1 + 0.375xy-1 Simplifying i = -0.75y-1 + 0.375xy-1 Reorder the terms: i = 0.375xy-1 + -0.75y-1
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