Answer:
y = -3
Step-by-step explanation:
To solve for the y-variable, we need to:
- Step-1: Isolate the y-variable such that the y-variable is not being added or subtracted to a constant or a variable. This can be done through addition or subtraction on both sides.
- Step-2: Isolate the y-variable such that the y-variable does not have any coefficients or is not being divided by a constant or a variable. We can isolate the y-variable by multiplication or division on both sides.
- Step-3: Simplify (If possible).
Using the above steps explained above, let's solve for y.
Solving for the y-variable:
Given equation:
Following step 1) Isolate the y-variable such that the y-variable is not being added or subtracted to a constant or a variable.
Since the constant is positive, we need to subtract 4 both sides.
- ⇒ 4 - y = 7
- ⇒ 4 - y - 4 = 7 - 4
- ⇒ -y = 7 - 4 = 3
Following step 2) Isolate the y-variable such that the y-variable does not have any coefficients or is not being divided by a constant or a variable.
We can see here that the coefficient is a "-". This indicates that the coefficient is "-1". Therefore, we will need to divide -1 both sides.
- ⇒ -y = 3
- ⇒ -y/-1 = 3/-1
- ⇒ y = 3/-1
Following step 3) Simplify (If possible)
We can simplify the R.H.S by taking the "-" in the numerator. Therefore,
Any non-zero number divided by 1, is the number itself.
Therefore, the value of y is -3.
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