2y-4+y+9=-2y-4+4y+11

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Solution for 2y-4+y+9=-2y-4+4y+11 equation: 


Simplifying
2y + -4 + y + 9 = -2y + -4 + 4y + 11

Reorder the terms:
-4 + 9 + 2y + y = -2y + -4 + 4y + 11

Combine like terms: -4 + 9 = 5
5 + 2y + y = -2y + -4 + 4y + 11

Combine like terms: 2y + y = 3y
5 + 3y = -2y + -4 + 4y + 11

Reorder the terms:
5 + 3y = -4 + 11 + -2y + 4y

Combine like terms: -4 + 11 = 7
5 + 3y = 7 + -2y + 4y

Combine like terms: -2y + 4y = 2y
5 + 3y = 7 + 2y

Solving
5 + 3y = 7 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
5 + 3y + -2y = 7 + 2y + -2y

Combine like terms: 3y + -2y = 1y
5 + 1y = 7 + 2y + -2y

Combine like terms: 2y + -2y = 0
5 + 1y = 7 + 0
5 + 1y = 7

Add '-5' to each side of the equation.
5 + -5 + 1y = 7 + -5

Combine like terms: 5 + -5 = 0
0 + 1y = 7 + -5
1y = 7 + -5

Combine like terms: 7 + -5 = 2
1y = 2

Divide each side by '1'.
y = 2

Simplifying
y = 2

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