0.9+0.4t=1.6+0.6(t-3)

Solution for 0.9+0.4t=1.6+0.6(t-3) equation:

Simplifying
0.9 + 0.4t = 1.6 + 0.6(t + -3)

Reorder the terms:
0.9 + 0.4t = 1.6 + 0.6(-3 + t)
0.9 + 0.4t = 1.6 + (-3 * 0.6 + t * 0.6)
0.9 + 0.4t = 1.6 + (-1.8 + 0.6t)

Combine like terms: 1.6 + -1.8 = -0.2
0.9 + 0.4t = -0.2 + 0.6t

Solving
0.9 + 0.4t = -0.2 + 0.6t

Solving for variable 't'.

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

Add '-0.6t' to each side of the equation.
0.9 + 0.4t + -0.6t = -0.2 + 0.6t + -0.6t

Combine like terms: 0.4t + -0.6t = -0.2t
0.9 + -0.2t = -0.2 + 0.6t + -0.6t

Combine like terms: 0.6t + -0.6t = 0.0
0.9 + -0.2t = -0.2 + 0.0
0.9 + -0.2t = -0.2

Add '-0.9' to each side of the equation.
0.9 + -0.9 + -0.2t = -0.2 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + -0.2t = -0.2 + -0.9
-0.2t = -0.2 + -0.9

Combine like terms: -0.2 + -0.9 = -1.1
-0.2t = -1.1

Divide each side by '-0.2'.
t = 5.5

Simplifying
t = 5.5