6(y+3)+2=2y+8

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Solution for 6(y+3)+2=2y+8 equation: 


Simplifying
6(y + 3) + 2 = 2y + 8

Reorder the terms:
6(3 + y) + 2 = 2y + 8
(3 * 6 + y * 6) + 2 = 2y + 8
(18 + 6y) + 2 = 2y + 8

Reorder the terms:
18 + 2 + 6y = 2y + 8

Combine like terms: 18 + 2 = 20
20 + 6y = 2y + 8

Reorder the terms:
20 + 6y = 8 + 2y

Solving
20 + 6y = 8 + 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.
20 + 6y + -2y = 8 + 2y + -2y

Combine like terms: 6y + -2y = 4y
20 + 4y = 8 + 2y + -2y

Combine like terms: 2y + -2y = 0
20 + 4y = 8 + 0
20 + 4y = 8

Add '-20' to each side of the equation.
20 + -20 + 4y = 8 + -20

Combine like terms: 20 + -20 = 0
0 + 4y = 8 + -20
4y = 8 + -20

Combine like terms: 8 + -20 = -12
4y = -12

Divide each side by '4'.
y = -3

Simplifying
y = -3

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