s+(3s+.22)+(s-.12)=4.6

Solution for s+(3s+.22)+(s-.12)=4.6 equation:

Simplifying
s + (3s + 0.22) + (s + -0.12) = 4.6

Reorder the terms:
s + (0.22 + 3s) + (s + -0.12) = 4.6

Remove parenthesis around (0.22 + 3s)
s + 0.22 + 3s + (s + -0.12) = 4.6

Reorder the terms:
s + 0.22 + 3s + (-0.12 + s) = 4.6

Remove parenthesis around (-0.12 + s)
s + 0.22 + 3s + -0.12 + s = 4.6

Reorder the terms:
0.22 + -0.12 + s + 3s + s = 4.6

Combine like terms: 0.22 + -0.12 = 0.1
0.1 + s + 3s + s = 4.6

Combine like terms: s + 3s = 4s
0.1 + 4s + s = 4.6

Combine like terms: 4s + s = 5s
0.1 + 5s = 4.6

Solving
0.1 + 5s = 4.6

Solving for variable 's'.

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

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 5s = 4.6 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 5s = 4.6 + -0.1
5s = 4.6 + -0.1

Combine like terms: 4.6 + -0.1 = 4.5
5s = 4.5

Divide each side by '5'.
s = 0.9

Simplifying
s = 0.9