6(y+6)+y=3(y+4)-4

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Solution for 6(y+6)+y=3(y+4)-4 equation: 


Simplifying
6(y + 6) + y = 3(y + 4) + -4

Reorder the terms:
6(6 + y) + y = 3(y + 4) + -4
(6 * 6 + y * 6) + y = 3(y + 4) + -4
(36 + 6y) + y = 3(y + 4) + -4

Combine like terms: 6y + y = 7y
36 + 7y = 3(y + 4) + -4

Reorder the terms:
36 + 7y = 3(4 + y) + -4
36 + 7y = (4 * 3 + y * 3) + -4
36 + 7y = (12 + 3y) + -4

Reorder the terms:
36 + 7y = 12 + -4 + 3y

Combine like terms: 12 + -4 = 8
36 + 7y = 8 + 3y

Solving
36 + 7y = 8 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
36 + 7y + -3y = 8 + 3y + -3y

Combine like terms: 7y + -3y = 4y
36 + 4y = 8 + 3y + -3y

Combine like terms: 3y + -3y = 0
36 + 4y = 8 + 0
36 + 4y = 8

Add '-36' to each side of the equation.
36 + -36 + 4y = 8 + -36

Combine like terms: 36 + -36 = 0
0 + 4y = 8 + -36
4y = 8 + -36

Combine like terms: 8 + -36 = -28
4y = -28

Divide each side by '4'.
y = -7

Simplifying
y = -7

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