Question

Solve the equation 3y + 17 = −2y + 25 for y

Answer 1

y =
`(8)/(5)` or
`1(3)/(5)` or
`1.6` ✅

Explanation:

`3y+17=-2y+25`

⬆️

Move the variable to the left-hand side and change its sign

⬇️

`3y+17+2y=25`

⬆️

Move the constant to the right-hand side and change its sign

⬇️

`3y+2y=25-17`

⬆️

Collect like terms

⬇️

`5y=25-17`

⬆️

Subtract the numbers

⬇️

`5y=8`

⬆️

Divide both sides of the equation by 5

⬇️

`(5y)/(5) =(8)/(5)`

⬇️

Solution

`y=(8)/(5)` ✅

Alternative form

`y=1(3)/(5) , y=1.6` ✅

I hope this was helpful!

Have a blessed day! (✿◠‿◠)

Answer 2

y = 8/5

Terms:

3y, -2y, y

Leading term:
3y

Explanation:

Subtract by 17 from all sides

`3y+17-17=-2y+25-17`

Simplify

`3y=-2y+8`

Add term 2y

`3y+2y=-2y+8+2y`

Simplify further

`3y + 2y = 5y\\= 5y\\5y = 8`

Divide all sides by 5

`(5y)/(5)=(8)/(5)`

Cancel the current leading term, 5y, simplify one last time

`y=(8)/(5)`