\[ 4 - y = 2 \Rightarrow y = 2 \]

["How to Solve the Equation ( 4 - y = 2 ) in Simple Steps", "Solving equations is a fundamental skill in algebra, and one of the most straightforward examples is solving a linear equation like ( 4 - y = 2 ). If you’ve ever wondered how to find the value of ( y ) in this equation, you’re in the right place. This article breaks down the process step-by-step using clear, beginner-friendly language to help you master solving for ( y ).", "### What Is the Equation ( 4 - y = 2 )?", "The equation ( 4 - y = 2 ) is a simple linear equation where the variable ( y ) is subtracted from 4 on the left side and set equal to 2. Solving it means uncovering the value of ( y ) that makes both sides equal—essentially balancing the equation to isolate ( y ).", "### Step-by-Step Guide to Solve ( 4 - y = 2 )", "#### Step 1: Isolate the term with ( y )\nTo begin, move the constant ( 4 ) to the right side. You do this by performing the same operation on both sides to maintain balance. Subtract 4 from both sides:\n[\n4 - y - 4 = 2 - 4\n]\nSimplify both sides:\n[\n-y = -2\n]", "#### Step 2: Eliminate the negative sign on ( y )\nSince ( -y = -2 ), the negative sign in front of ( y ) means ( y ) is negative. To remove the negative, multiply both sides by (-1):\n[\n(-1)(-y) = (-1)(-2)\n]\nThis simplifies to:\n[\ny = 2\n]", "### Why ( y = 2 ) Is the Correct Solution", "Plugging ( y = 2 ) back into the original equation confirms the solution:\n[\n4 - 2 = 2 \quad \ ext{✓ True}\n]\nThis means when ( y = 2 ), both sides of the equation are equal—which is the definition of a valid solution.", "### Understanding the Logic Behind the Steps", "The core idea of solving ( 4 - y = 2 ) is to reverse operations:\n- First, subtract 4 to "undo" the addition of 4;\n- Then, remove the negative sign by multiplying by (-1).", "This approach follows the fundamental property of equality—what you do to one side, you must do to the other.", "### How This Equation Relates to Real Math and Learning", "This type of equation appears everywhere in algebra, from foundational math classes to advanced problem-solving. Mastering simple linear equations like ( 4 - y = 2 ) builds confidence in manipulating variables and expressions. It also prepares you for more complex algebra, including systems of equations and real-world applications such as budgeting or motion calculations.", "### Final Answer", "The solution to ( 4 - y = 2 ) is:\n[\n\boxed{y = 2}\n]\nBy carefully isolating ( y ) using inverse operations and verifying the solution, you’ve successfully solved the equation. Remember: practice makes perfect—try similar equations like ( 5 - x = 3 ) to strengthen your skills!", "---", "SEO Keywords: solve linear equations, algebraic equations, solve for y, how to solve 4 - y = 2, step-by-step algebra, balance equation, negative variable solution. \nMastering this equation is a building block in math—it shows how careful, logical steps lead to clear answers. Keep practicing, and soon solving equations will feel second nature!"]