3y-6=2(y+4)

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


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

Reorder the terms:
-6 + 3y = 2(y + 4)

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

Solving
-6 + 3y = 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.
-6 + 3y + -2y = 8 + 2y + -2y

Combine like terms: 3y + -2y = 1y
-6 + 1y = 8 + 2y + -2y

Combine like terms: 2y + -2y = 0
-6 + 1y = 8 + 0
-6 + 1y = 8

Add '6' to each side of the equation.
-6 + 6 + 1y = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 1y = 8 + 6
1y = 8 + 6

Combine like terms: 8 + 6 = 14
1y = 14

Divide each side by '1'.
y = 14

Simplifying
y = 14

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