Math Problem Statement

3y+6=12

Solution

To solve the equation 3y+6=123y + 6 = 12, follow these steps:

  1. Subtract 6 from both sides: 3y+66=1263y + 6 - 6 = 12 - 6 This simplifies to: 3y=63y = 6

  2. Divide both sides by 3 to isolate yy: y=63y = \frac{6}{3} Simplifying: y=2y = 2

So, the solution is y=2y = 2.

Would you like more details or have any questions about this?

Here are 5 related questions to further explore this topic:

  1. What happens if you change the constant on the right-hand side of the equation?
  2. How do you solve 2x+4=102x + 4 = 10 in a similar way?
  3. Can you solve an equation like 4y7=134y - 7 = 13?
  4. How do you solve equations with fractions, like 3y2+6=12\frac{3y}{2} + 6 = 12?
  5. What steps are needed to solve 3y+6=03y + 6 = 0?

Tip: Always perform the same operation on both sides of the equation to maintain balance!

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Isolating variable method: ax + b = c

Theorems

Equality principle: perform the same operation on both sides

Suitable Grade Level

Grades 6-8