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Question: Solve the equation (5y + 3y = 4y + 10) and find the value of (y).

Step-by-Step Explanation:

1. Combine like terms on both sides of the equation:

   • On the left side: (5y + 3y = 8y).
   • Similarly, on the right side: (4y + 10) remains as is.

2. Rewrite the equation with the combined terms:
   [
   8y = 4y + 10
   ]

3. Subtract (4y) from both sides to isolate the variable term:
   [
   8y – 4y = 4y + 10 – 4y
   ]
   [
   4y = 10
   ]

4. Solve for (y) by dividing both sides by 4:
   [
   y = frac{10}{4}
   ]
   [
   y = 2.5 text{ or } y = frac{5}{2}
   ]

5. Final Answer:
   [
   y = 2.5
   ]

Conclusion: The value of ( y ) that satisfies the equation (5y + 3y = 4y + 10) is ( 2.5 ).