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Simplifying 7y + 5i + -3y + 1 = 2y + -2 Reorder the terms: 1 + 5i + 7y + -3y = 2y + -2 Combine like terms: 7y + -3y = 4y 1 + 5i + 4y = 2y + -2 Reorder the terms: 1 + 5i + 4y = -2 + 2y Solving 1 + 5i + 4y = -2 + 2y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 5i + -1 + 4y = -2 + -1 + 2y Reorder the terms: 1 + -1 + 5i + 4y = -2 + -1 + 2y Combine like terms: 1 + -1 = 0 0 + 5i + 4y = -2 + -1 + 2y 5i + 4y = -2 + -1 + 2y Combine like terms: -2 + -1 = -3 5i + 4y = -3 + 2y Add '-4y' to each side of the equation. 5i + 4y + -4y = -3 + 2y + -4y Combine like terms: 4y + -4y = 0 5i + 0 = -3 + 2y + -4y 5i = -3 + 2y + -4y Combine like terms: 2y + -4y = -2y 5i = -3 + -2y Divide each side by '5'. i = -0.6 + -0.4y Simplifying i = -0.6 + -0.4y
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