.5y=.33(1+y)+2

Solution for .5y=.33(1+y)+2 equation:

Simplifying
0.5y = 0.33(1 + y) + 2
0.5y = (1 * 0.33 + y * 0.33) + 2
0.5y = (0.33 + 0.33y) + 2

Reorder the terms:
0.5y = 0.33 + 2 + 0.33y

Combine like terms: 0.33 + 2 = 2.33
0.5y = 2.33 + 0.33y

Solving
0.5y = 2.33 + 0.33y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-0.33y' to each side of the equation.
0.5y + -0.33y = 2.33 + 0.33y + -0.33y

Combine like terms: 0.5y + -0.33y = 0.17y
0.17y = 2.33 + 0.33y + -0.33y

Combine like terms: 0.33y + -0.33y = 0.00
0.17y = 2.33 + 0.00
0.17y = 2.33

Divide each side by '0.17'.
y = 13.70588235

Simplifying
y = 13.70588235