4.6q-1.6-4.1q=-0.5q-4.2

Solution for 4.6q-1.6-4.1q=-0.5q-4.2 equation:

Simplifying
4.6q + -1.6 + -4.1q = -0.5q + -4.2

Reorder the terms:
-1.6 + 4.6q + -4.1q = -0.5q + -4.2

Combine like terms: 4.6q + -4.1q = 0.5q
-1.6 + 0.5q = -0.5q + -4.2

Reorder the terms:
-1.6 + 0.5q = -4.2 + -0.5q

Solving
-1.6 + 0.5q = -4.2 + -0.5q

Solving for variable 'q'.

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

Add '0.5q' to each side of the equation.
-1.6 + 0.5q + 0.5q = -4.2 + -0.5q + 0.5q

Combine like terms: 0.5q + 0.5q = 1q
-1.6 + 1q = -4.2 + -0.5q + 0.5q

Combine like terms: -0.5q + 0.5q = 0.0
-1.6 + 1q = -4.2 + 0.0
-1.6 + 1q = -4.2

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 1q = -4.2 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 1q = -4.2 + 1.6
1q = -4.2 + 1.6

Combine like terms: -4.2 + 1.6 = -2.6
1q = -2.6

Divide each side by '1'.
q = -2.6

Simplifying
q = -2.6