- To solve 2y+7 = 19, the first step is to isolate the term 2y by removing the +7 from the left side.

To remove +7 from 2y+7, you use the inverse of adding 7, namely subtracting 7 from each side.

The first step can be written as 2y+7-7 = 19-7 .

The second step simplifies each side of the equation and is written as 2y = 12 .

The third step uses the method 2y/2 = 12/2 to isolate the variable y on one side.

The final step isolates the y by simplifying each side of the equation and is written as y = 6.

- For equation 2y+7 = 19, the answer y=6 is the value of the variable y that satisfies the equation.

To satisfy an equation means to make its left side value equal its right side value.

When you check the answer y=6, the left side value of 2y+7 evaluates as 2(6)+7 which is 19.

When you check the right side value of 2y+7 = 19, it is already 19 with no evaluation work needed.

- The answer y=6 that satisfies the equation 2y+7 = 19 can be called the solution or root.

- Similarly, a complete solution for solving an equation such as 3w-8 = 22 to find the value of w is ...

3w-8 = 22

3w-8+8 = 22+8

3w = 30

3w/3 = 30/3

w = 10

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