2(y+6)+11=51-5y

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Solution for 2(y+6)+11=51-5y equation:


Simplifying
2(y + 6) + 11 = 51 + -5y

Reorder the terms:
2(6 + y) + 11 = 51 + -5y
(6 * 2 + y * 2) + 11 = 51 + -5y
(12 + 2y) + 11 = 51 + -5y

Reorder the terms:
12 + 11 + 2y = 51 + -5y

Combine like terms: 12 + 11 = 23
23 + 2y = 51 + -5y

Solving
23 + 2y = 51 + -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.
23 + 2y + 5y = 51 + -5y + 5y

Combine like terms: 2y + 5y = 7y
23 + 7y = 51 + -5y + 5y

Combine like terms: -5y + 5y = 0
23 + 7y = 51 + 0
23 + 7y = 51

Add '-23' to each side of the equation.
23 + -23 + 7y = 51 + -23

Combine like terms: 23 + -23 = 0
0 + 7y = 51 + -23
7y = 51 + -23

Combine like terms: 51 + -23 = 28
7y = 28

Divide each side by '7'.
y = 4

Simplifying
y = 4

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