Math Problem Statement

-2y+6=–y

Solution

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

  1. Isolate the variable on one side:
    Start by getting all the terms involving yy on one side of the equation.

    2y+y+6=y+y-2y + y + 6 = -y + y

    Simplifying both sides:

    y+6=0-y + 6 = 0

  2. Solve for yy:
    Now, subtract 6 from both sides to isolate yy:

    y=6-y = -6

    To solve for yy, multiply both sides by 1-1:

    y=6y = 6

So, the solution is y=6y = 6.

Would you like further details or have any questions?

Here are 5 related questions you might find interesting:

  1. How would you solve 3y7=2y+53y - 7 = 2y + 5?
  2. What is the solution to the equation 42x=x+14 - 2x = x + 1?
  3. Can you solve for yy in the equation 5y+3=2y+125y + 3 = 2y + 12?
  4. How do you solve 2x+5=3x42x + 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.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Basic algebraic manipulation
Isolation of variables

Theorems

Principle of Equality

Suitable Grade Level

Grades 6-8