2(4y+8)=3(2y-2)

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Solution for 2(4y+8)=3(2y-2) equation: 


Simplifying
2(4y + 8) = 3(2y + -2)

Reorder the terms:
2(8 + 4y) = 3(2y + -2)
(8 * 2 + 4y * 2) = 3(2y + -2)
(16 + 8y) = 3(2y + -2)

Reorder the terms:
16 + 8y = 3(-2 + 2y)
16 + 8y = (-2 * 3 + 2y * 3)
16 + 8y = (-6 + 6y)

Solving
16 + 8y = -6 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
16 + 8y + -6y = -6 + 6y + -6y

Combine like terms: 8y + -6y = 2y
16 + 2y = -6 + 6y + -6y

Combine like terms: 6y + -6y = 0
16 + 2y = -6 + 0
16 + 2y = -6

Add '-16' to each side of the equation.
16 + -16 + 2y = -6 + -16

Combine like terms: 16 + -16 = 0
0 + 2y = -6 + -16
2y = -6 + -16

Combine like terms: -6 + -16 = -22
2y = -22

Divide each side by '2'.
y = -11

Simplifying
y = -11

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