-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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