2(2+3(y-1))=22

Solution for 2(2+3(y-1))=22 equation:

Simplifying
2(2 + 3(y + -1)) = 22

Reorder the terms:
2(2 + 3(-1 + y)) = 22
2(2 + (-1 * 3 + y * 3)) = 22
2(2 + (-3 + 3y)) = 22

Combine like terms: 2 + -3 = -1
2(-1 + 3y) = 22
(-1 * 2 + 3y * 2) = 22
(-2 + 6y) = 22

Solving
-2 + 6y = 22

Solving for variable 'y'.

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

Add '2' to each side of the equation.
-2 + 2 + 6y = 22 + 2

Combine like terms: -2 + 2 = 0
0 + 6y = 22 + 2
6y = 22 + 2

Combine like terms: 22 + 2 = 24
6y = 24

Divide each side by '6'.
y = 4

Simplifying
y = 4