1. State the problem: Solve the linear equation $2x + 3y = 6$ for $y$. 2. Formula: A linear equation in two variables $x$ and $y$ is generally written as $ax + by = c$ where $a$, $b$, and $c$ are constants. 3. To solve for $y$, isolate $y$ on one side: $$2x + 3y = 6 \implies 3y = 6 - 2x \implies y = \frac{6 - 2x}{3}$$ 4. Explanation: We rearranged the equation to express $y$ in terms of $x$. This form helps us find $y$ for any value of $x$. 5. Final answer: $$y = \frac{6 - 2x}{3}$$