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

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


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

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

Reorder the terms:
-12 + 6y = 5(3 + y)
-12 + 6y = (3 * 5 + y * 5)
-12 + 6y = (15 + 5y)

Solving
-12 + 6y = 15 + 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 = 15 + 5y + -5y

Combine like terms: 6y + -5y = 1y
-12 + 1y = 15 + 5y + -5y

Combine like terms: 5y + -5y = 0
-12 + 1y = 15 + 0
-12 + 1y = 15

Add '12' to each side of the equation.
-12 + 12 + 1y = 15 + 12

Combine like terms: -12 + 12 = 0
0 + 1y = 15 + 12
1y = 15 + 12

Combine like terms: 15 + 12 = 27
1y = 27

Divide each side by '1'.
y = 27

Simplifying
y = 27

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