Final answer:
To proceed with solving the equation 7y = 49 - 7, subtract 7 from 49 to get 7y = 42, then divide each side by 7 to find y = 6. Finally, check the answer by substituting the value of y back into the original equation.
Step-by-step explanation:
The student has asked for the next step in the equation solving sequence for the equation 7y = 49 - 7. The initial stage in solving this linear equation is to simplify the right-hand side of the equation by performing the subtraction. From there, we can isolate the variable y to find its value.
The next step would be to subtract 7 from 49, which simplifies the equation to 7y = 42. Then, to solve for y, we divide both sides of the equation by 7, resulting in y = 6. This provides us with the value of y.
Simplifying equations and isolating the variable are fundamental concepts in algebra, and understanding them can help in solving more complex problems.
To check the answer, we can substitute the value of y back into the original equation to ensure that the left-hand side equals the right-hand side.