What is the result of y when 4y - 5 = 3?

What is the result of y when 4y - 5 = 3?

• A. 1
• B. 2
• C. 3
• D. 4

Answer: (B)

To solve the equation \(4y - 5 = 3\), the goal is to isolate \(y\). Begin by adding 5 to both sides of the equation to eliminate the -5: \[4y - 5 + 5 = 3 + 5\] This simplifies to: \[4y = 8\] Next, to find \(y\), divide both sides by 4: \[y = \frac{8}{4}\] This results in: \[y = 2\] Thus, the value of \(y\) is 2. This option is correct because it successfully satisfies the original equation when substituted back in. Checking: Substituting \(y = 2\) back into the original equation gives: \[4(2) - 5 = 3\] Which simplifies to: \[8 - 5 = 3\] This verifies that \(y = 2\) is indeed the correct solution. Other options do not satisfy the equation when checked in this manner.

To solve the equation (4y - 5 = 3), the goal is to isolate (y). Begin by adding 5 to both sides of the equation to eliminate the -5:

[4y - 5 + 5 = 3 + 5]

This simplifies to:

[4y = 8]

Next, to find (y), divide both sides by 4:

[y = \frac{8}{4}]

This results in:

[y = 2]

Thus, the value of (y) is 2. This option is correct because it successfully satisfies the original equation when substituted back in. Checking:

Substituting (y = 2) back into the original equation gives:

[4(2) - 5 = 3]

Which simplifies to:

[8 - 5 = 3]

This verifies that (y = 2) is indeed the correct solution. Other options do not satisfy the equation when checked in this manner.