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Simplifying 40 + 0.84y + 200 + -10i + 300 + -5 + 0.02y = 0 Reorder the terms: 40 + 200 + 300 + -5 + -10i + 0.84y + 0.02y = 0 Combine like terms: 40 + 200 = 240 240 + 300 + -5 + -10i + 0.84y + 0.02y = 0 Combine like terms: 240 + 300 = 540 540 + -5 + -10i + 0.84y + 0.02y = 0 Combine like terms: 540 + -5 = 535 535 + -10i + 0.84y + 0.02y = 0 Combine like terms: 0.84y + 0.02y = 0.86y 535 + -10i + 0.86y = 0 Solving 535 + -10i + 0.86y = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-535' to each side of the equation. 535 + -10i + -535 + 0.86y = 0 + -535 Reorder the terms: 535 + -535 + -10i + 0.86y = 0 + -535 Combine like terms: 535 + -535 = 0 0 + -10i + 0.86y = 0 + -535 -10i + 0.86y = 0 + -535 Combine like terms: 0 + -535 = -535 -10i + 0.86y = -535 Add '-0.86y' to each side of the equation. -10i + 0.86y + -0.86y = -535 + -0.86y Combine like terms: 0.86y + -0.86y = 0.00 -10i + 0.00 = -535 + -0.86y -10i = -535 + -0.86y Divide each side by '-10'. i = 53.5 + 0.086y Simplifying i = 53.5 + 0.086y
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