3(4y-1)+11=5y+22

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Solution for 3(4y-1)+11=5y+22 equation: 


Simplifying
3(4y + -1) + 11 = 5y + 22

Reorder the terms:
3(-1 + 4y) + 11 = 5y + 22
(-1 * 3 + 4y * 3) + 11 = 5y + 22
(-3 + 12y) + 11 = 5y + 22

Reorder the terms:
-3 + 11 + 12y = 5y + 22

Combine like terms: -3 + 11 = 8
8 + 12y = 5y + 22

Reorder the terms:
8 + 12y = 22 + 5y

Solving
8 + 12y = 22 + 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.
8 + 12y + -5y = 22 + 5y + -5y

Combine like terms: 12y + -5y = 7y
8 + 7y = 22 + 5y + -5y

Combine like terms: 5y + -5y = 0
8 + 7y = 22 + 0
8 + 7y = 22

Add '-8' to each side of the equation.
8 + -8 + 7y = 22 + -8

Combine like terms: 8 + -8 = 0
0 + 7y = 22 + -8
7y = 22 + -8

Combine like terms: 22 + -8 = 14
7y = 14

Divide each side by '7'.
y = 2

Simplifying
y = 2

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