Write the following statements in the form of equations.
3 less than 5 times a number y is equal to the sum of 8 and 3 times the number y.

Answer

To convert the given statement into an equation, we will break it down step by step.

**Step 1: Identify the components of the statement.**
- The phrase "5 times a number y" can be represented as \(5y\).
- The phrase "3 less than 5 times a number y" means we subtract 3 from \(5y\), which can be written as \(5y - 3\).
- The phrase "the sum of 8 and 3 times the number y" can be represented as \(8 + 3y\).

**Step 2: Set up the equation.**
According to the statement, "3 less than 5 times a number y is equal to the sum of 8 and 3 times the number y." This can be expressed as:
\[ 5y - 3 = 8 + 3y \]

**Final Equation:**
The final equation representing the statement is:
\[ 5y - 3 = 8 + 3y \]

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