2(3y+4)=6(3+y)+2y

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Solution for 2(3y+4)=6(3+y)+2y equation:


Simplifying
2(3y + 4) = 6(3 + y) + 2y

Reorder the terms:
2(4 + 3y) = 6(3 + y) + 2y
(4 * 2 + 3y * 2) = 6(3 + y) + 2y
(8 + 6y) = 6(3 + y) + 2y
8 + 6y = (3 * 6 + y * 6) + 2y
8 + 6y = (18 + 6y) + 2y

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

Solving
8 + 6y = 18 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
8 + 6y + -8y = 18 + 8y + -8y

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

Combine like terms: 8y + -8y = 0
8 + -2y = 18 + 0
8 + -2y = 18

Add '-8' to each side of the equation.
8 + -8 + -2y = 18 + -8

Combine like terms: 8 + -8 = 0
0 + -2y = 18 + -8
-2y = 18 + -8

Combine like terms: 18 + -8 = 10
-2y = 10

Divide each side by '-2'.
y = -5

Simplifying
y = -5

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