Math Problem Statement

Solve for y. You must write your answer in fully simplified form. 2 = 6y

Solution

The equation given is:

2=6y2 = 6y

To solve for yy, follow these steps:

  1. Divide both sides of the equation by 6 to isolate yy:

y=26y = \frac{2}{6}

  1. Simplify the fraction:

y=13y = \frac{1}{3}

Thus, the solution is:

y=13y = \frac{1}{3}

Would you like further details or have any other questions?

Here are 5 related questions to expand your understanding:

  1. How would you solve 3=9y3 = 9y for yy?
  2. What happens if the equation was 2=6y+12 = 6y + 1?
  3. How do you solve for yy in equations like 4y+2=104y + 2 = 10?
  4. Can you explain how to simplify fractions like 48\frac{4}{8}?
  5. How would you solve for yy in an equation with decimals like 0.5=3.2y0.5 = 3.2y?

Tip: Always remember to check your solution by substituting the value of yy back into the original equation to verify it works!

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Math Problem Analysis

Mathematical Concepts

Basic Algebra
Solving Linear Equations

Formulas

Equation solving by isolating variables

Theorems

Basic principles of equality and simplification

Suitable Grade Level

Grades 6-8