Answer:
[tex]x = \frac{1}{4} y + \frac{1}{2} [/tex]
Step-by-step explanation:
[tex]y = 4x - 2[/tex]
first flip
[tex]4x - 2 = y[/tex]
now add 2 to each side
[tex]4x + 2 = y + 2[/tex]
now
[tex]4x = y + 2[/tex]
divide by 4
[tex]4x \div 4 = 4 + 2 \div 4[/tex]
so
[tex]x = \frac{1}{4} y + \frac{1}{2} [/tex]