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Simplifying -2(y + 12) = 8(i + -1) Reorder the terms: -2(12 + y) = 8(i + -1) (12 * -2 + y * -2) = 8(i + -1) (-24 + -2y) = 8(i + -1) Reorder the terms: -24 + -2y = 8(-1 + i) -24 + -2y = (-1 * 8 + i * 8) -24 + -2y = (-8 + 8i) Solving -24 + -2y = -8 + 8i Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -2y = -8 + 24 + 8i Combine like terms: -24 + 24 = 0 0 + -2y = -8 + 24 + 8i -2y = -8 + 24 + 8i Combine like terms: -8 + 24 = 16 -2y = 16 + 8i Divide each side by '-2'. y = -8 + -4i Simplifying y = -8 + -4i
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