6(y+2)+y=2(y+4)+6

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Solution for 6(y+2)+y=2(y+4)+6 equation:


Simplifying
6(y + 2) + y = 2(y + 4) + 6

Reorder the terms:
6(2 + y) + y = 2(y + 4) + 6
(2 * 6 + y * 6) + y = 2(y + 4) + 6
(12 + 6y) + y = 2(y + 4) + 6

Combine like terms: 6y + y = 7y
12 + 7y = 2(y + 4) + 6

Reorder the terms:
12 + 7y = 2(4 + y) + 6
12 + 7y = (4 * 2 + y * 2) + 6
12 + 7y = (8 + 2y) + 6

Reorder the terms:
12 + 7y = 8 + 6 + 2y

Combine like terms: 8 + 6 = 14
12 + 7y = 14 + 2y

Solving
12 + 7y = 14 + 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.
12 + 7y + -2y = 14 + 2y + -2y

Combine like terms: 7y + -2y = 5y
12 + 5y = 14 + 2y + -2y

Combine like terms: 2y + -2y = 0
12 + 5y = 14 + 0
12 + 5y = 14

Add '-12' to each side of the equation.
12 + -12 + 5y = 14 + -12

Combine like terms: 12 + -12 = 0
0 + 5y = 14 + -12
5y = 14 + -12

Combine like terms: 14 + -12 = 2
5y = 2

Divide each side by '5'.
y = 0.4

Simplifying
y = 0.4

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