Answer:
y = 2
Step-by-step explanation:
Given equation:
[tex]2y - 5 = 5y - 11[/tex]
Subtract 5y both sides:
[tex]\implies 2y - 5 = 5y - 11[/tex]
[tex]\implies 2y - 5 - 5y = 5y - 5y - 11[/tex]
[tex]\implies -3y - 5 = -11[/tex]
Add 5 both sides:
[tex]\implies -3y - 5 = -11[/tex]
[tex]\implies -3y - 5 + 5 = -11 + 5[/tex]
[tex]\implies -3y = -6[/tex]
Multiply -1 both sides:
[tex]\implies -3y = -6[/tex]
[tex]\implies \dfrac{-3y}{-1} = \dfrac{-6}{-1}[/tex]
[tex]\implies 3y = 6[/tex]
Divide 3 both sides:
[tex]\implies 3y = 6[/tex]
[tex]\implies \dfrac{3y}{3} = \dfrac{6}{3}[/tex]
[tex]\implies \boxed{y = 2}[/tex]
