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Simplifying 9(i + 2) = -2(y + 6) Reorder the terms: 9(2 + i) = -2(y + 6) (2 * 9 + i * 9) = -2(y + 6) (18 + 9i) = -2(y + 6) Reorder the terms: 18 + 9i = -2(6 + y) 18 + 9i = (6 * -2 + y * -2) 18 + 9i = (-12 + -2y) Solving 18 + 9i = -12 + -2y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 9i = -12 + -18 + -2y Combine like terms: 18 + -18 = 0 0 + 9i = -12 + -18 + -2y 9i = -12 + -18 + -2y Combine like terms: -12 + -18 = -30 9i = -30 + -2y Divide each side by '9'. i = -3.333333333 + -0.2222222222y Simplifying i = -3.333333333 + -0.2222222222y
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