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Simplifying 0.2y + 75i + -146 = 0 + -1 Reorder the terms: -146 + 75i + 0.2y = 0 + -1 Combine like terms: 0 + -1 = -1 -146 + 75i + 0.2y = -1 Solving -146 + 75i + 0.2y = -1 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '146' to each side of the equation. -146 + 75i + 146 + 0.2y = -1 + 146 Reorder the terms: -146 + 146 + 75i + 0.2y = -1 + 146 Combine like terms: -146 + 146 = 0 0 + 75i + 0.2y = -1 + 146 75i + 0.2y = -1 + 146 Combine like terms: -1 + 146 = 145 75i + 0.2y = 145 Add '-0.2y' to each side of the equation. 75i + 0.2y + -0.2y = 145 + -0.2y Combine like terms: 0.2y + -0.2y = 0.0 75i + 0.0 = 145 + -0.2y 75i = 145 + -0.2y Divide each side by '75'. i = 1.933333333 + -0.002666666667y Simplifying i = 1.933333333 + -0.002666666667y
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