- To solve 5y+7 = 2y+19, the first step is to collect the y terms together on the left side.

To remove 2y from the right side 2y+19, you subtract 2y from each side.

The first step can be written as 5y-2y+7 = 2y-2y+19 which yields the result 3y+7 = 19.

The next step can be written as 3y+7-7 = 19-7 which simplifies to 3y = 12 .

The final step uses the method 3y/3 = 12/3 to isolate the y on one side, giving the answer y = 4.

- For equation 5y+7 = 2y+19, the answer y=4 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=4, the left side value of 5y+7 evaluates as 5(4)+7 which is 27.

When you check the right side value of 2y+19, it evaluates as 2(4)+19 which is 27.

- The answer y=4 that satisfies the equation 5y+7 = 2y+19 is the solution or root of the equation.

- Similarly, a complete solution for solving the equation 7w-8 = 4w+22 to find the value of w is ...

7w-8 = 4w+22

7w-4w-8 = 4w-4w+22

3w-8 = 22

3w-8+8 = 22+8

3w = 30

3w/3 = 30/3

w = 10

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