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Simplifying x + 3i = -3 + 2y Reorder the terms: 3i + x = -3 + 2y Solving 3i + x = -3 + 2y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1x' to each side of the equation. 3i + x + -1x = -3 + -1x + 2y Combine like terms: x + -1x = 0 3i + 0 = -3 + -1x + 2y 3i = -3 + -1x + 2y Divide each side by '3'. i = -1 + -0.3333333333x + 0.6666666667y Simplifying i = -1 + -0.3333333333x + 0.6666666667y
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