We can solve the equation step by step:

Given equation:

$3x + 2y - 4 = 2(5 - y)$

1. Expand the right side:

$3x + 2y - 4 = 10 - 2y$

2. Move all terms involving $y$ to one side:

$3x + 2y + 2y = 10 + 4$

This simplifies to:

$3x + 4y = 14$

Now, we have the simplified equation:

$3x + 4y = 14$

This is a linear equation in two variables, $x$ and $y$. To solve further, you would either need a value for $x$ or $y$, or another equation to solve the system.

Would you like to solve for one variable or work on something else related to this equation?

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Related questions:

1. How do you solve a system of two linear equations?
2. What is the method of substitution in solving equations?
3. Can you graph the equation $3x + 4y = 14$?
4. What are the real-world applications of linear equations like this?
5. How do you determine if an equation has no solution, one solution, or infinitely many solutions?

Tip: Always simplify both sides of an equation as early as possible to reduce complexity in solving.