4.6q-1.6-3.8q=-0.2q-5.1

Solution for 4.6q-1.6-3.8q=-0.2q-5.1 equation:

Simplifying
4.6q + -1.6 + -3.8q = -0.2q + -5.1

Reorder the terms:
-1.6 + 4.6q + -3.8q = -0.2q + -5.1

Combine like terms: 4.6q + -3.8q = 0.8q
-1.6 + 0.8q = -0.2q + -5.1

Reorder the terms:
-1.6 + 0.8q = -5.1 + -0.2q

Solving
-1.6 + 0.8q = -5.1 + -0.2q

Solving for variable 'q'.

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

Add '0.2q' to each side of the equation.
-1.6 + 0.8q + 0.2q = -5.1 + -0.2q + 0.2q

Combine like terms: 0.8q + 0.2q = 1q
-1.6 + 1q = -5.1 + -0.2q + 0.2q

Combine like terms: -0.2q + 0.2q = 0.0
-1.6 + 1q = -5.1 + 0.0
-1.6 + 1q = -5.1

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 1q = -5.1 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 1q = -5.1 + 1.6
1q = -5.1 + 1.6

Combine like terms: -5.1 + 1.6 = -3.5
1q = -3.5

Divide each side by '1'.
q = -3.5

Simplifying
q = -3.5