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! (✿◠‿◠)