How would you solve the problem below using the subsitution method?

12x + 4 = 8y
y = x - 7

Please explain to me and help. If you could show all the steps, that would help a lot. Thank you.

put the y equation in the first equation.

12x+4=8*(x-7)
12x+4=8x-56

subtract 8x from each side, subtract 4 from each side.

Then having solved for x, put that into the original y= equation

Oohhh thank you soo much!!!

To solve this problem using the substitution method, we need to replace one variable in terms of the other variable. Let's solve this step by step:

Step 1: Given equations:
The given equations are:
1) 12x + 4 = 8y
2) y = x - 7

Step 2: Solve one equation for one variable:
In this case, Equation 2 allows us to solve for y in terms of x. According to Equation 2, y = x - 7.

Step 3: Substitute the value:
Now, we will substitute the value of y from Equation 2 into Equation 1, replacing all instances of y with (x - 7).

Substituting the value for y into Equation 1, we get:
12x + 4 = 8(x - 7)

Step 4: Simplify and solve for x:
We can simplify Equation 1 using the distributive property:
12x + 4 = 8x - 56

Next, we will combine like terms by subtracting 8x from both sides of the equation:
12x - 8x + 4 = -56

Simplifying further, we get:
4x + 4 = -56

Now, subtract 4 from both sides:
4x = -60

Divide both sides of the equation by 4 to solve for x:
x = -60/4
x = -15

Step 5: Solve for y:
To find the value of y, we will substitute the value of x (-15) into Equation 2:
y = x - 7
y = -15 - 7
y = -22

Step 6: Solution:
The solution to the system of equations is x = -15 and y = -22.

Therefore, when using the substitution method, the solution to the given problem is x = -15 and y = -22.