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Simplifying -3(8 + 2y) = 2(k + 4) (8 * -3 + 2y * -3) = 2(k + 4) (-24 + -6y) = 2(k + 4) Reorder the terms: -24 + -6y = 2(4 + k) -24 + -6y = (4 * 2 + k * 2) -24 + -6y = (8 + 2k) Solving -24 + -6y = 8 + 2k 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 + -6y = 8 + 24 + 2k Combine like terms: -24 + 24 = 0 0 + -6y = 8 + 24 + 2k -6y = 8 + 24 + 2k Combine like terms: 8 + 24 = 32 -6y = 32 + 2k Divide each side by '-6'. y = -5.333333333 + -0.3333333333k Simplifying y = -5.333333333 + -0.3333333333k
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