8.3y+6=3+7[y-(2.6)]

Solution for 8.3y+6=3+7[y-(2.6)] equation:

Simplifying
8.3y + 6 = 3 + 7[y + -1(2.6)]

Reorder the terms:
6 + 8.3y = 3 + 7[y + -1(2.6)]

Multiply -1 * 2.6
6 + 8.3y = 3 + 7[y + -2.6]

Reorder the terms:
6 + 8.3y = 3 + 7[-2.6 + y]
6 + 8.3y = 3 + [-2.6 * 7 + y * 7]
6 + 8.3y = 3 + [-18.2 + 7y]

Combine like terms: 3 + -18.2 = -15.2
6 + 8.3y = -15.2 + 7y

Solving
6 + 8.3y = -15.2 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
6 + 8.3y + -7y = -15.2 + 7y + -7y

Combine like terms: 8.3y + -7y = 1.3y
6 + 1.3y = -15.2 + 7y + -7y

Combine like terms: 7y + -7y = 0
6 + 1.3y = -15.2 + 0
6 + 1.3y = -15.2

Add '-6' to each side of the equation.
6 + -6 + 1.3y = -15.2 + -6

Combine like terms: 6 + -6 = 0
0 + 1.3y = -15.2 + -6
1.3y = -15.2 + -6

Combine like terms: -15.2 + -6 = -21.2
1.3y = -21.2

Divide each side by '1.3'.
y = -16.30769231

Simplifying
y = -16.30769231