6=3+5[y-2]

Solution for 6=3+5[y-2] equation:

Simplifying
6 = 3 + 5[y + -2]

Reorder the terms:
6 = 3 + 5[-2 + y]
6 = 3 + [-2 * 5 + y * 5]
6 = 3 + [-10 + 5y]

Combine like terms: 3 + -10 = -7
6 = -7 + 5y

Solving
6 = -7 + 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.
6 + -5y = -7 + 5y + -5y

Combine like terms: 5y + -5y = 0
6 + -5y = -7 + 0
6 + -5y = -7

Add '-6' to each side of the equation.
6 + -6 + -5y = -7 + -6

Combine like terms: 6 + -6 = 0
0 + -5y = -7 + -6
-5y = -7 + -6

Combine like terms: -7 + -6 = -13
-5y = -13

Divide each side by '-5'.
y = 2.6

Simplifying
y = 2.6