Solving the Equation: 14 + 13y = 20y - 21
In this article, we will solve the linear equation 14 + 13y = 20y - 21. Let's break it down step by step.
Given Equation The given equation is:
14 + 13y = 20y - 21
Step 1: Combine like terms We will start by combining like terms on both sides of the equation.
14 + 13y = 20y - 21
Step 2: Move all terms to one side Our goal is to get all the terms on one side of the equation. Let's move all the terms to the left side.
13y - 20y = -21 - 14
Step 3: Simplify the equation Now, let's simplify the equation by combining like terms.
-7y = -35
Step 4: Solve for y Finally, let's solve for y by dividing both sides of the equation by -7.
y = -35/-7
y = 5
Answer Therefore, the value of y is 5.
Conclusion In this article, we have successfully solved the linear equation 14 + 13y = 20y - 21 and found the value of y to be 5.
