Solving the Equation: 2y + 4 + 3y = 6 Explained Step-by-Step

Understanding linear equations is a fundamental skill in algebra, and solving equations like 2y + 4 + 3y = 6 is a perfect starting point for beginners. In this SEO-optimized guide, we’ll walk you through how to solve the equation step-by-step, explain key algebraic concepts, and help you master similar problems efficiently.

Understanding the Context

Understanding the Equation

The equation:
2y + 4 + 3y = 6

At first glance, this equation combines like terms — a crucial first step in simplifying and solving linear expressions. Let’s break it down.

Step 1: Combine Like Terms

2y + 4 + 3y = 6

Key Insights

On the left-hand side, you have two terms with the variable y:

  • 2y
  • 3y

These like terms can be combined by adding their coefficients:
2y + 3y = 5y

The constant term is simply 4.

So the equation simplifies to:
5y + 4 = 6

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Final Thoughts

Understanding how to combine like terms is essential for simplifying expressions and solving equations faster—important for SEO travel within educational content.

Step 2: Isolate the Variable Term

Next, subtract 4 from both sides of the equation to isolate the term with y:

5y + 4 – 4 = 6 – 4
→ 5y = 2

This step uses the fundamental algebraic principle that whatever operation you perform on one side, you must apply to both sides to maintain balance.

Step 3: Solve for y

Now, divide both sides by 5 to solve for y:

y = 2 ÷ 5
y = 0.4 (or 2⁄5 in fractional form)