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Simplifying y + -1i = 5y + 2 Reorder the terms: -1i + y = 5y + 2 Reorder the terms: -1i + y = 2 + 5y Solving -1i + y = 2 + 5y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1y' to each side of the equation. -1i + y + -1y = 2 + 5y + -1y Combine like terms: y + -1y = 0 -1i + 0 = 2 + 5y + -1y -1i = 2 + 5y + -1y Combine like terms: 5y + -1y = 4y -1i = 2 + 4y Divide each side by '-1'. i = -2 + -4y Simplifying i = -2 + -4y
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