To solve the equation \(-2y + 6 = -y\), follow these steps:

1. **Isolate the variable on one side**:  
   Start by getting all the terms involving \(y\) on one side of the equation.

   \[
   -2y + y + 6 = -y + y
   \]

   Simplifying both sides:

   \[
   -y + 6 = 0
   \]

2. **Solve for \(y\)**:  
   Now, subtract 6 from both sides to isolate \(y\):

   \[
   -y = -6
   \]

   To solve for \(y\), multiply both sides by \(-1\):

   \[
   y = 6
   \]

So, the solution is \(y = 6\).

Would you like further details or have any questions?

Here are 5 related questions you might find interesting:
1. How would you solve \(3y - 7 = 2y + 5\)?
2. What is the solution to the equation \(4 - 2x = x + 1\)?
3. Can you solve for \(y\) in the equation \(5y + 3 = 2y + 12\)?
4. How do you solve \(2x + 5 = 3x - 4\)?
5. What is the general method for solving linear equations with variables on both sides?

**Tip**: When solving linear equations, always try to simplify both sides as much as possible before isolating the variable. This will make the problem easier to solve.

Learn how to solve the linear equation -2y + 6 = -y with a clear, step-by-step solution. This problem focuses on key algebraic concepts like variable isolation and equality principles, making it ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation