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Simplifying 6(y + 4) = 2(y + 8) Reorder the terms: 6(4 + y) = 2(y + 8) (4 * 6 + y * 6) = 2(y + 8) (24 + 6y) = 2(y + 8) Reorder the terms: 24 + 6y = 2(8 + y) 24 + 6y = (8 * 2 + y * 2) 24 + 6y = (16 + 2y) Solving 24 + 6y = 16 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 24 + 6y + -2y = 16 + 2y + -2y Combine like terms: 6y + -2y = 4y 24 + 4y = 16 + 2y + -2y Combine like terms: 2y + -2y = 0 24 + 4y = 16 + 0 24 + 4y = 16 Add '-24' to each side of the equation. 24 + -24 + 4y = 16 + -24 Combine like terms: 24 + -24 = 0 0 + 4y = 16 + -24 4y = 16 + -24 Combine like terms: 16 + -24 = -8 4y = -8 Divide each side by '4'. y = -2 Simplifying y = -2
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