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

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


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

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

Reorder the terms:
4 + 6y = 5(-4 + 2y)
4 + 6y = (-4 * 5 + 2y * 5)
4 + 6y = (-20 + 10y)

Solving
4 + 6y = -20 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
4 + 6y + -10y = -20 + 10y + -10y

Combine like terms: 6y + -10y = -4y
4 + -4y = -20 + 10y + -10y

Combine like terms: 10y + -10y = 0
4 + -4y = -20 + 0
4 + -4y = -20

Add '-4' to each side of the equation.
4 + -4 + -4y = -20 + -4

Combine like terms: 4 + -4 = 0
0 + -4y = -20 + -4
-4y = -20 + -4

Combine like terms: -20 + -4 = -24
-4y = -24

Divide each side by '-4'.
y = 6

Simplifying
y = 6

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