1.6[3y-1]+2=5y

Solution for 1.6[3y-1]+2=5y equation:

Simplifying
1.6[3y + -1] + 2 = 5y

Reorder the terms:
1.6[-1 + 3y] + 2 = 5y
[-1 * 1.6 + 3y * 1.6] + 2 = 5y
[-1.6 + 4.8y] + 2 = 5y

Reorder the terms:
-1.6 + 2 + 4.8y = 5y

Combine like terms: -1.6 + 2 = 0.4
0.4 + 4.8y = 5y

Solving
0.4 + 4.8y = 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
0.4 + 4.8y + -5y = 5y + -5y

Combine like terms: 4.8y + -5y = -0.2y
0.4 + -0.2y = 5y + -5y

Combine like terms: 5y + -5y = 0
0.4 + -0.2y = 0

Add '-0.4' to each side of the equation.
0.4 + -0.4 + -0.2y = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -0.2y = 0 + -0.4
-0.2y = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
-0.2y = -0.4

Divide each side by '-0.2'.
y = 2

Simplifying
y = 2