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

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


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

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

Reorder the terms:
12 + 6y = 4(-4 + 5y)
12 + 6y = (-4 * 4 + 5y * 4)
12 + 6y = (-16 + 20y)

Solving
12 + 6y = -16 + 20y

Solving for variable 'y'.

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

Add '-20y' to each side of the equation.
12 + 6y + -20y = -16 + 20y + -20y

Combine like terms: 6y + -20y = -14y
12 + -14y = -16 + 20y + -20y

Combine like terms: 20y + -20y = 0
12 + -14y = -16 + 0
12 + -14y = -16

Add '-12' to each side of the equation.
12 + -12 + -14y = -16 + -12

Combine like terms: 12 + -12 = 0
0 + -14y = -16 + -12
-14y = -16 + -12

Combine like terms: -16 + -12 = -28
-14y = -28

Divide each side by '-14'.
y = 2

Simplifying
y = 2

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