Answer:
Let's simplify the given expression step by step:
1. Combine the **like terms** on both sides of the equation:
4 - 3y = 6y + 4 - 9y
First, let's group the terms with \(y\) together:
4 - 3y = (6y - 9y) + 4
Simplify the expression inside the parentheses:
4 - 3y = -3y + 4
2. Now, let's move the terms with (y) to one side of the equation. To do this, add 3y to both sides:
4 - 3y + 3y = -3y + 4 + 3y
4 = 4
3. The equation simplifies to 4 = 4. This means that the original equation is **an identity**, which implies that it holds true for all values of (y).
Therefore, the solution to the equation is **all real numbers**. No specific value of (y) satisfies this equation; it is always true regardless of the value of (y).
