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Simplifying 12(2 + y) = 6(y + 8) (2 * 12 + y * 12) = 6(y + 8) (24 + 12y) = 6(y + 8) Reorder the terms: 24 + 12y = 6(8 + y) 24 + 12y = (8 * 6 + y * 6) 24 + 12y = (48 + 6y) Solving 24 + 12y = 48 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 24 + 12y + -6y = 48 + 6y + -6y Combine like terms: 12y + -6y = 6y 24 + 6y = 48 + 6y + -6y Combine like terms: 6y + -6y = 0 24 + 6y = 48 + 0 24 + 6y = 48 Add '-24' to each side of the equation. 24 + -24 + 6y = 48 + -24 Combine like terms: 24 + -24 = 0 0 + 6y = 48 + -24 6y = 48 + -24 Combine like terms: 48 + -24 = 24 6y = 24 Divide each side by '6'. y = 4 Simplifying y = 4
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