1

Problem

Solve for y in the following equation:
4(3 + y) - 10 = 5(x - 5)

2

Step

The given equation is

4(3 + y) - 10 = 5(x - 5)

3

Step

Let’s start by distributing the term

12 + 4y - 10 = 5x - 25

4

Step

Combine like terms

4y + 2 = 5x - 25

5

Step

Move constant term to right side then simplify

4y = 5x - 25 - 2

4y = 5x - 27

6

Step

Slove for y value

\$y = (5x - 27) /4\$

7

Solution

So, the solution for y is:\$y = (5x - 27)/4\$.

8

Sumup

Please Summarize Problem, Hint, Clue, Formula and Steps

Choices

9

Choice-A

This is not correct because it does not match the solution derived from the equation

Wrong \$y = (5x + 27)/4\$

10

Choice-B

This is not correct because it does not match the solution derived from the equation

Wrong \$y = (4x - 27)/5\$

11

Choice-C

This is correct because it matches the solution obtained from solving the equation

Correct \$y = (5x - 27)/4\$

12

Choice-D

This is not correct because it does not match the solution derived from the equation

Wrong \$y = (4x + 27)/5\$

13

Step

Option

C

14

Sumup

Please Summarize Choices