“5 more than triple a number 𝑦, all divided by 2” can be written as

Answer: 3y+52\frac{3y + 5}{2}

Step-by-step solution

Step 1: Translate “triple a number yy ”

Tripling a number means multiplying that number by 3. Therefore, triple a number yy is written algebraically as 3y3y.

Step 2: Translate “5 more than triple a number yy ”

The phrase “5 more than” indicates adding 5 to the previous quantity. Adding 5 to 3y3y gives the expression 3y+53y + 5.

Step 3: Translate “all divided by 2”

The phrase “all divided by 2” means that the entire expression obtained so far, 3y+53y + 5, must be divided by 2. This gives the algebraic expression 3y+52\frac{3y + 5}{2}.

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