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Simplifying 3(y + 4) + 3(y + 4) = 48 Reorder the terms: 3(4 + y) + 3(y + 4) = 48 (4 * 3 + y * 3) + 3(y + 4) = 48 (12 + 3y) + 3(y + 4) = 48 Reorder the terms: 12 + 3y + 3(4 + y) = 48 12 + 3y + (4 * 3 + y * 3) = 48 12 + 3y + (12 + 3y) = 48 Reorder the terms: 12 + 12 + 3y + 3y = 48 Combine like terms: 12 + 12 = 24 24 + 3y + 3y = 48 Combine like terms: 3y + 3y = 6y 24 + 6y = 48 Solving 24 + 6y = 48 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 = 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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