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

Key Insights

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

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

🔗 Related Articles You Might Like:

📰 The Hidden Magic In Days That Looked Completely Perfect 📰 The Last Mimzy Revival: Why This Character Broke the Internet Forever 📰 The Last Mimzy Pain: This Heart-Wrenching Final Moment Changed Everything 📰 How One Spider Lit Up Night Watchers With Its Glowing Eyes Across Australian Headlands 📰 How One Split Leaf Philodendron Started Threatening To Split Beyond Control Beware 📰 How One Squid Game Clip Sparked Global Frenzy And Memes That Last 📰 How One Stardew Valley Coach Broke The Games Hidden Rules Forever 📰 How One Stoked Stand Changed Entire Industries Forever 📰 How One Sturgeon Changed Everything In Stardew Valleys Deep Lake 📰 How One Teacher Felled Classroom Chaos With Schuberts Timeless Wisdom 📰 How One Team Sparked A Surge That Shook The Entire League 📰 How One Tiny Bite Of Sour Candy Triggers Hours Of Burning Fury 📰 How One Tiny Glass Changed Everything You Thought You Knew About Shot Glasses 📰 How One Tiny Rating Could Save Your Life On The Road 📰 How One Tiny Shoe Lace Change Transformed Every Walk Forever 📰 How One Tiny Souvenir Revealed A Century Of Secrets And Lost Stories 📰 How One Tiny Wrench Could Be The Difference Between Damage And Triumph 📰 How One View Trigger Made My Video Trending Global Without Ads

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)