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

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


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

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

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

Reorder the terms:
36 + 7y = 3(4 + y) + 6
36 + 7y = (4 * 3 + y * 3) + 6
36 + 7y = (12 + 3y) + 6

Reorder the terms:
36 + 7y = 12 + 6 + 3y

Combine like terms: 12 + 6 = 18
36 + 7y = 18 + 3y

Solving
36 + 7y = 18 + 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 = 18 + 3y + -3y

Combine like terms: 7y + -3y = 4y
36 + 4y = 18 + 3y + -3y

Combine like terms: 3y + -3y = 0
36 + 4y = 18 + 0
36 + 4y = 18

Add '-36' to each side of the equation.
36 + -36 + 4y = 18 + -36

Combine like terms: 36 + -36 = 0
0 + 4y = 18 + -36
4y = 18 + -36

Combine like terms: 18 + -36 = -18
4y = -18

Divide each side by '4'.
y = -4.5

Simplifying
y = -4.5

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