7(3y+6)=1.1-(y+2)

Solution for 7(3y+6)=1.1-(y+2) equation:

Simplifying
7(3y + 6) = 1.1 + -1(y + 2)

Reorder the terms:
7(6 + 3y) = 1.1 + -1(y + 2)
(6 * 7 + 3y * 7) = 1.1 + -1(y + 2)
(42 + 21y) = 1.1 + -1(y + 2)

Reorder the terms:
42 + 21y = 1.1 + -1(2 + y)
42 + 21y = 1.1 + (2 * -1 + y * -1)
42 + 21y = 1.1 + (-2 + -1y)

Combine like terms: 1.1 + -2 = -0.9
42 + 21y = -0.9 + -1y

Solving
42 + 21y = -0.9 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
42 + 21y + y = -0.9 + -1y + y

Combine like terms: 21y + y = 22y
42 + 22y = -0.9 + -1y + y

Combine like terms: -1y + y = 0
42 + 22y = -0.9 + 0
42 + 22y = -0.9

Add '-42' to each side of the equation.
42 + -42 + 22y = -0.9 + -42

Combine like terms: 42 + -42 = 0
0 + 22y = -0.9 + -42
22y = -0.9 + -42

Combine like terms: -0.9 + -42 = -42.9
22y = -42.9

Divide each side by '22'.
y = -1.95

Simplifying
y = -1.95