11-(2y-1)=2(y-1)+3y

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Solution for 11-(2y-1)=2(y-1)+3y equation: 


Simplifying
11 + -1(2y + -1) = 2(y + -1) + 3y

Reorder the terms:
11 + -1(-1 + 2y) = 2(y + -1) + 3y
11 + (-1 * -1 + 2y * -1) = 2(y + -1) + 3y
11 + (1 + -2y) = 2(y + -1) + 3y

Combine like terms: 11 + 1 = 12
12 + -2y = 2(y + -1) + 3y

Reorder the terms:
12 + -2y = 2(-1 + y) + 3y
12 + -2y = (-1 * 2 + y * 2) + 3y
12 + -2y = (-2 + 2y) + 3y

Combine like terms: 2y + 3y = 5y
12 + -2y = -2 + 5y

Solving
12 + -2y = -2 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
12 + -2y + -5y = -2 + 5y + -5y

Combine like terms: -2y + -5y = -7y
12 + -7y = -2 + 5y + -5y

Combine like terms: 5y + -5y = 0
12 + -7y = -2 + 0
12 + -7y = -2

Add '-12' to each side of the equation.
12 + -12 + -7y = -2 + -12

Combine like terms: 12 + -12 = 0
0 + -7y = -2 + -12
-7y = -2 + -12

Combine like terms: -2 + -12 = -14
-7y = -14

Divide each side by '-7'.
y = 2

Simplifying
y = 2

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