Solve the equation for y. 8y + 2y = 9y + 4

Understand the Problem

The question is asking us to solve the equation 8y + 2y = 9y + 4 for the variable y. This involves combining like terms and isolating y on one side of the equation.

Answer

$ y = 4 $

Steps to Solve

Combine like terms on the left side

First, we combine the like terms on the left side of the equation:

$$ 8y + 2y = 10y $$

Now the equation becomes:

$$ 10y = 9y + 4 $$

Isolate y

Next, we want to isolate the variable $y$ on one side. We can do this by subtracting $9y$ from both sides of the equation:

$$ 10y - 9y = 4 $$

This simplifies to:

$$ y = 4 $$

Final form of the solution

The final solution for $y$ is:

$$ y = 4 $$

The solution to the equation is ( y = 4 ).

More Information

In this equation, we combined like terms and then isolated the variable to find the solution. This method of solving linear equations is essential in algebra.

Tips

Not combining like terms: Always make sure to simplify both sides of the equation before isolating the variable.
Misplacing signs: Pay careful attention to the signs during your calculations, especially when subtracting from both sides.

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