2(1[2y+7]1)=42

Solution for 2(1[2y+7]1)=42 equation:

Simplifying
2(1[2y + 7] * 1) = 42

Reorder the terms:
2(1[7 + 2y] * 1) = 42

Reorder the terms for easier multiplication:
2(1 * 1[7 + 2y]) = 42

Multiply 1 * 1
2(1[7 + 2y]) = 42
2([7 * 1 + 2y * 1]) = 42
2([7 + 2y]) = 42
(7 * 2 + 2y * 2) = 42
(14 + 4y) = 42

Solving
14 + 4y = 42

Solving for variable 'y'.

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

Add '-14' to each side of the equation.
14 + -14 + 4y = 42 + -14

Combine like terms: 14 + -14 = 0
0 + 4y = 42 + -14
4y = 42 + -14

Combine like terms: 42 + -14 = 28
4y = 28

Divide each side by '4'.
y = 7

Simplifying
y = 7