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

Solving
-1.6 + 4.8y = 2 + 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.
-1.6 + 4.8y + -5y = 2 + 5y + -5y

Combine like terms: 4.8y + -5y = -0.2y
-1.6 + -0.2y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-1.6 + -0.2y = 2 + 0
-1.6 + -0.2y = 2

Add '1.6' to each side of the equation.
-1.6 + 1.6 + -0.2y = 2 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + -0.2y = 2 + 1.6
-0.2y = 2 + 1.6

Combine like terms: 2 + 1.6 = 3.6
-0.2y = 3.6

Divide each side by '-0.2'.
y = -18

Simplifying
y = -18