2(1[y+7]1)-7y=-[11]

Solution for 2(1[y+7]1)-7y=-[11] equation:

Simplifying
2(1[y + 7] * 1) + -7y = -1[11]

Reorder the terms:
2(1[7 + y] * 1) + -7y = -1[11]

Reorder the terms for easier multiplication:
2(1 * 1[7 + y]) + -7y = -1[11]

Multiply 1 * 1
2(1[7 + y]) + -7y = -1[11]
2([7 * 1 + y * 1]) + -7y = -1[11]
2([7 + 1y]) + -7y = -1[11]
(7 * 2 + 1y * 2) + -7y = -1[11]
(14 + 2y) + -7y = -1[11]

Combine like terms: 2y + -7y = -5y
14 + -5y = -1[11]

Multiply -1 * 11
14 + -5y = -11

Solving
14 + -5y = -11

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 + -5y = -11 + -14

Combine like terms: 14 + -14 = 0
0 + -5y = -11 + -14
-5y = -11 + -14

Combine like terms: -11 + -14 = -25
-5y = -25

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

Simplifying
y = 5