(y-3)/2-13=-9 solve for y

(y-3)/2 = 4

y-3 = 8
y = 11

To solve for y in the equation (y-3)/2 - 13 = -9, follow these steps:

Step 1: Simplify the left side of the equation.
Start by distributing the division by 2 to both terms inside the parentheses:
(y/2 - 3/2) - 13 = -9

Step 2: Combine like terms.
Combine the constant terms on the left side of the equation:
y/2 - (3/2 + 13) = -9
y/2 - (16/2) = -9
y/2 - 8 = -9

Step 3: Isolate the variable term.
To isolate the term with y, add 8 to both sides of the equation:
y/2 - 8 + 8 = -9 + 8
y/2 = -1

Step 4: Solve for y.
To solve for y, multiply both sides of the equation by 2 to eliminate the fraction:
2 * (y/2) = -1 * 2
y = -2

Therefore, the solution to the equation (y-3)/2 - 13 = -9 is y = -2.

To solve the equation (y-3)/2 - 13 = -9 for y, we need to isolate the variable y on one side of the equation. Let's go through the steps together:

Step 1: Remove any parentheses.
Here, we have (y-3)/2. We can keep it as is for now.

Step 2: Simplify both sides of the equation, if possible.
The left side of the equation remains the same: (y-3)/2 - 13. The right side of the equation is -9.

Step 3: Combine like terms, if possible.
We don't have any like terms to combine on either side of the equation.

Step 4: Isolate the variable y.
To isolate y, we need to get rid of the -13 on the left side of the equation. We can do this by adding 13 to both sides of the equation.
(y - 3)/2 - 13 + 13 = -9 + 13

Simplifying further:
(y - 3)/2 = 4

Step 5: Remove the fraction (if any).
To get rid of the fraction, we can multiply both sides of the equation by 2. This cancels out the denominator.
2 * [(y - 3)/2] = 4 * 2

Simplifying further:
y - 3 = 8

Step 6: Isolate the variable y.
Since we want to solve for y, we need to isolate it. We can do this by adding 3 to both sides of the equation.
y - 3 + 3 = 8 + 3

Simplifying further:
y = 11

Therefore, the solution to the equation (y-3)/2 - 13 = -9 is y = 11.