4.2q-1.6-4.6q=-1.4q-1.3

Solution for 4.2q-1.6-4.6q=-1.4q-1.3 equation:

Simplifying
4.2q + -1.6 + -4.6q = -1.4q + -1.3

Reorder the terms:
-1.6 + 4.2q + -4.6q = -1.4q + -1.3

Combine like terms: 4.2q + -4.6q = -0.4q
-1.6 + -0.4q = -1.4q + -1.3

Reorder the terms:
-1.6 + -0.4q = -1.3 + -1.4q

Solving
-1.6 + -0.4q = -1.3 + -1.4q

Solving for variable 'q'.

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

Add '1.4q' to each side of the equation.
-1.6 + -0.4q + 1.4q = -1.3 + -1.4q + 1.4q

Combine like terms: -0.4q + 1.4q = 1q
-1.6 + 1q = -1.3 + -1.4q + 1.4q

Combine like terms: -1.4q + 1.4q = 0.0
-1.6 + 1q = -1.3 + 0.0
-1.6 + 1q = -1.3

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 1q = -1.3 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 1q = -1.3 + 1.6
1q = -1.3 + 1.6

Combine like terms: -1.3 + 1.6 = 0.3
1q = 0.3

Divide each side by '1'.
q = 0.3

Simplifying
q = 0.3