Respuesta :

Answer:

y = 8/5

Terms:

3y, -2y, y

Leading term:
3y

Step-by-step explanation:

Subtract by 17 from all sides

[tex]3y+17-17=-2y+25-17[/tex]

Simplify

[tex]3y=-2y+8[/tex]

Add term 2y

[tex]3y+2y=-2y+8+2y[/tex]

Simplify further

[tex]3y + 2y = 5y\\= 5y\\5y = 8[/tex]

Divide all sides by 5

[tex]\frac{5y}{5}=\frac{8}{5}[/tex]

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

[tex]y=\frac{8}{5}[/tex]

Answer:

y =  [tex]\frac{8}{5}[/tex]  or  [tex]1\frac{3}{5}[/tex]  or  [tex]1.6[/tex]  ✅

Step-by-step explanation:

[tex]3y+17=-2y+25[/tex]

                 ⬆️

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

              ⬇️

[tex]3y+17+2y=25[/tex]

      ⬆️

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

                      ⬇️

[tex]3y+2y=25-17[/tex]

   ⬆️

Collect like terms

⬇️

[tex]5y=25-17[/tex]

           ⬆️

Subtract the numbers

       ⬇️

[tex]5y=8[/tex]

  ⬆️

Divide both sides of the equation by 5

  ⬇️

[tex]\frac{5y}{5} =\frac{8}{5}[/tex]

  ⬇️

Solution

[tex]y=\frac{8}{5}[/tex]  ✅

Alternative form

[tex]y=1\frac{3}{5} , y=1.6[/tex]  ✅

I hope this was helpful!

Have a blessed day! (✿◠‿◠)