Understanding the Equation: 3(0) – 2y = 6 – A Step-by-Step Guide to Solving for y

If you’re currently studying algebra or tackling equations in school, you’ve likely encountered expressions like 3(0) – 2y = 6. At first glance, this equation might seem simple—or even confusing—but mastering it offers valuable insight into solving linear equations. In this SEO-optimized guide, we’ll break down 3(0) – 2y = 6 step-by-step, explain how to solve for y, and highlight why understanding such equations is essential for math learners.

Understanding the Context

What Is the Equation 3(0) – 2y = 6?

The equation 3(0) – 2y = 6 is a linear equation in one variable (y). Although multiplying zero by 3 may seem confusing at first, recognizing that 3(0) = 0 simplifies the expression significantly. This lets us focus on the essential components: isolating y by simple algebraic manipulation.

Why Is This Equation Useful to Learn?

Solved y''-6y'+13y=0,y(0)=0,y'(0)=-3y''+y=22sin22t,y(0)=10,y | Chegg.com

Image Gallery

Solved y''-6y'+13y=0,y(0)=0,y'(0)=-3y''+y=22sin22t,y(0)=10,y | Chegg.com
3+3y2−6=0 | Filo
39. 2y”' + 3y” - 3y' - 2y = e^-t, y(0) = 0, y'(0) = 0, y”(0) = 1 40. y ...
Solved Solve(a) y''+3y'+2y=0.(b) y''+6y'+9y=0.c) y''+6y'+25y | Chegg.com
Solved y′=3ty2+6,y(0)=0 Use the method of successive | Chegg.com

Key Insights

Working with equations like 3(0) – 2y = 6 helps students build foundational skills in:

  • Simplifying expressions
  • Applying the order of operations
  • Isolating variables
  • Understanding algebraic structure

Moreover, equations involving no variable (like 3(0)) guide learners to distinguish between constant substitutions and true variable equations — an important distinction in solving algebra problems effectively.

Step-by-Step Solution: How to Solve 3(0) – 2y = 6

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Final Thoughts

Let’s solve 3(0) – 2y = 6 step by step:

Step 1: Simplify Constants

Since 3(0) = 0, replace 3(0) with 0:
  0 – 2y = 6

Step 2: Rewrite to Standard Form

Move constants to one side:
  –2y = 6

It’s standard to express equations with positive coefficients, so multiply both sides by –1:
  2y = –6

Step 3: Solve for y

Divide both sides by 2:
  y = –6 ÷ 2
  y = –3

Final Answer

The solution to the equation 3(0) – 2y = 6 is:
y = –3

Tips for Solving Similar Equations