If 5y - 2 = 3y + 6, what is the value of y?

If 5y - 2 = 3y + 6, what is the value of y?

• A. 2
• B. 3
• C. 4
• D. 5

Answer: (C)

To solve the equation \(5y - 2 = 3y + 6\) for \(y\), the steps involve isolating the variable. First, start by rearranging the equation to group the \(y\)-terms on one side. This can be done by subtracting \(3y\) from both sides: \[ 5y - 3y - 2 = 6 \] This simplifies to: \[ 2y - 2 = 6 \] Next, add \(2\) to both sides of the equation to further isolate the term containing \(y\): \[ 2y - 2 + 2 = 6 + 2 \] This gives: \[ 2y = 8 \] Finally, divide both sides by \(2\) to solve for \(y\): \[ y = \frac{8}{2} = 4 \] Thus, the value of \(y\) is \(4\). This calculation correctly follows algebraic principles of solving linear equations by isolating the variable step by step.

To solve the equation (5y - 2 = 3y + 6) for (y), the steps involve isolating the variable.

First, start by rearranging the equation to group the (y)-terms on one side. This can be done by subtracting (3y) from both sides:

[

5y - 3y - 2 = 6

]

This simplifies to:

[

2y - 2 = 6

]

Next, add (2) to both sides of the equation to further isolate the term containing (y):

[

2y - 2 + 2 = 6 + 2

]

This gives:

[

2y = 8

]

Finally, divide both sides by (2) to solve for (y):

[

y = \frac{8}{2} = 4

]

Thus, the value of (y) is (4). This calculation correctly follows algebraic principles of solving linear equations by isolating the variable step by step.