3(2y-4)=5y+2

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Solution for 3(2y-4)=5y+2 equation: 


Simplifying
3(2y + -4) = 5y + 2

Reorder the terms:
3(-4 + 2y) = 5y + 2
(-4 * 3 + 2y * 3) = 5y + 2
(-12 + 6y) = 5y + 2

Reorder the terms:
-12 + 6y = 2 + 5y

Solving
-12 + 6y = 2 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-12 + 6y + -5y = 2 + 5y + -5y

Combine like terms: 6y + -5y = 1y
-12 + 1y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-12 + 1y = 2 + 0
-12 + 1y = 2

Add '12' to each side of the equation.
-12 + 12 + 1y = 2 + 12

Combine like terms: -12 + 12 = 0
0 + 1y = 2 + 12
1y = 2 + 12

Combine like terms: 2 + 12 = 14
1y = 14

Divide each side by '1'.
y = 14

Simplifying
y = 14

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