11-2y=2[3y-8(y-2)]-13y

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Solution for 11-2y=2[3y-8(y-2)]-13y equation: 


Simplifying
11 + -2y = 2[3y + -8(y + -2)] + -13y

Reorder the terms:
11 + -2y = 2[3y + -8(-2 + y)] + -13y
11 + -2y = 2[3y + (-2 * -8 + y * -8)] + -13y
11 + -2y = 2[3y + (16 + -8y)] + -13y

Reorder the terms:
11 + -2y = 2[16 + 3y + -8y] + -13y

Combine like terms: 3y + -8y = -5y
11 + -2y = 2[16 + -5y] + -13y
11 + -2y = [16 * 2 + -5y * 2] + -13y
11 + -2y = [32 + -10y] + -13y

Combine like terms: -10y + -13y = -23y
11 + -2y = 32 + -23y

Solving
11 + -2y = 32 + -23y

Solving for variable 'y'.

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

Add '23y' to each side of the equation.
11 + -2y + 23y = 32 + -23y + 23y

Combine like terms: -2y + 23y = 21y
11 + 21y = 32 + -23y + 23y

Combine like terms: -23y + 23y = 0
11 + 21y = 32 + 0
11 + 21y = 32

Add '-11' to each side of the equation.
11 + -11 + 21y = 32 + -11

Combine like terms: 11 + -11 = 0
0 + 21y = 32 + -11
21y = 32 + -11

Combine like terms: 32 + -11 = 21
21y = 21

Divide each side by '21'.
y = 1

Simplifying
y = 1

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