4.9q-4.6-4.8q=-0.9q-3.6

Solution for 4.9q-4.6-4.8q=-0.9q-3.6 equation:

Simplifying
4.9q + -4.6 + -4.8q = -0.9q + -3.6

Reorder the terms:
-4.6 + 4.9q + -4.8q = -0.9q + -3.6

Combine like terms: 4.9q + -4.8q = 0.1q
-4.6 + 0.1q = -0.9q + -3.6

Reorder the terms:
-4.6 + 0.1q = -3.6 + -0.9q

Solving
-4.6 + 0.1q = -3.6 + -0.9q

Solving for variable 'q'.

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

Add '0.9q' to each side of the equation.
-4.6 + 0.1q + 0.9q = -3.6 + -0.9q + 0.9q

Combine like terms: 0.1q + 0.9q = 1q
-4.6 + 1q = -3.6 + -0.9q + 0.9q

Combine like terms: -0.9q + 0.9q = 0.0
-4.6 + 1q = -3.6 + 0.0
-4.6 + 1q = -3.6

Add '4.6' to each side of the equation.
-4.6 + 4.6 + 1q = -3.6 + 4.6

Combine like terms: -4.6 + 4.6 = 0.0
0.0 + 1q = -3.6 + 4.6
1q = -3.6 + 4.6

Combine like terms: -3.6 + 4.6 = 1
1q = 1

Divide each side by '1'.
q = 1

Simplifying
q = 1