Starting equation: 1
3
y + 1
4
x = 1

Multiply both sides by (4)(3) = 12:
(4)(3) 1
3
y + (4)(3) 1
4
x = (4)(3)1
4y + 3x = 12

Subtract 4y from both sides:
4y + 3x - 4y = 12 - 4y
3x = 12 - 4y

Finally, divide both sides by 3:
3x
3
= 12 - 4y
3
x = 12 - 4y
3