Solving The Equation: Y + 6 = 3Y + 26

Solve the equation. y + 6 = 3y + 26 y = 8 y = 5 y = 5 y = 8 Brainly.in from brainly.in

Introduction

As a professional teacher, it is my duty to help students understand and solve mathematical problems. In this article, we will be discussing how to solve the equation y + 6 = 3y + 26. This equation is a linear equation, which means it has a degree of one, and the highest exponent of the variable is one.

Understanding the Equation

Before we can solve the equation, we need to understand what it means. The equation y + 6 = 3y + 26 is a statement that two expressions are equal. The left side of the equation is y + 6, and the right side is 3y + 26. The goal is to find the value of y that makes both sides equal.

Isolating the Variable

To solve the equation y + 6 = 3y + 26, we need to isolate the variable, which in this case is y. We can do this by subtracting y from both sides of the equation. This gives us: y + 6 - y = 3y + 26 - y Simplifying this equation gives us: 6 = 2y + 26

Further Simplification

We can simplify this equation further by subtracting 26 from both sides: 6 - 26 = 2y + 26 - 26 Simplifying this equation gives us: -20 = 2y

Dividing by the Coefficient

To isolate y, we need to divide both sides of the equation by the coefficient of y, which is 2. This gives us: -20/2 = 2y/2 Simplifying this equation gives us: -10 = y

Checking the Solution

To check if our solution is correct, we can substitute y = -10 back into the original equation: y + 6 = 3y + 26 -10 + 6 = 3(-10) + 26 -4 = -4 Since both sides of the equation are equal, our solution is correct.

Conclusion

In conclusion, solving the equation y + 6 = 3y + 26 involves isolating the variable, simplifying the equation, and dividing by the coefficient of the variable. By following these steps, we were able to find that y = -10. It is important to check our solution to make sure it is correct. As a teacher, I encourage students to practice solving similar equations to improve their skills.