Solve The Following Equation: 6y – 20 = 2y

Solve the following equation: 6y – 20 = 2y – 4. We share the solution of this equation with you in detail. We recommend that you examine it carefully.

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Solve the following equation: 6y – 20 = 2y – 4.

Answer: => The value of y is 4.

Step-by-step explanation:

Given that:-

To find:- The value of the expression,

To find the value of x, we must apply the transposition method:

As we have,

Now add both sides by Pin, =>

Simplifying it further, we get =>

Subtract both sides by Pin, =>

Now, divide both sides by Pin: =>

Hence, the required solution is 4.

Second answer to Solve the following equation: 6y – 20 = 2y – 4.

The solution to 6y – 20 = 2y – 4 is y = 4. The four rules that we use to solve linear equations in one variable are as follows:

We can add or subtract the same number or term on both sides of the equation.
We can multiply or divide the same non-zero number or term on both sides of the equation.
We can interchange sides of the equation.
We can simplify either side of the equation.

Each of the rules here does not change the solution of a single-variable linear equation. As such, they are used to continually rewrite the equation until we take the variable to one side. This process for the equation is as follows:

6y – 20 = 2y – 4
Using rule 1, add 20 to both sides of the equation, and subtract 2y from both sides of the equation.
- 6y – 20 +20 – 2y = 2y – 4 + 20 – 2y
Using rule 4, simplify both sides of the equation.
- 4y = 16
Using rule 2, divide both sides of the equation by 4.
- y = 4

We get that the equation y = 4 has the same solution as 6y – 20 = 2y – 4. In other words, the solution to the equation 6y – 20 = 2y – 4 is y = 4.

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