8(3y+6)=9(2y-4)

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Solution for 8(3y+6)=9(2y-4) equation: 


Simplifying
8(3y + 6) = 9(2y + -4)

Reorder the terms:
8(6 + 3y) = 9(2y + -4)
(6 * 8 + 3y * 8) = 9(2y + -4)
(48 + 24y) = 9(2y + -4)

Reorder the terms:
48 + 24y = 9(-4 + 2y)
48 + 24y = (-4 * 9 + 2y * 9)
48 + 24y = (-36 + 18y)

Solving
48 + 24y = -36 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
48 + 24y + -18y = -36 + 18y + -18y

Combine like terms: 24y + -18y = 6y
48 + 6y = -36 + 18y + -18y

Combine like terms: 18y + -18y = 0
48 + 6y = -36 + 0
48 + 6y = -36

Add '-48' to each side of the equation.
48 + -48 + 6y = -36 + -48

Combine like terms: 48 + -48 = 0
0 + 6y = -36 + -48
6y = -36 + -48

Combine like terms: -36 + -48 = -84
6y = -84

Divide each side by '6'.
y = -14

Simplifying
y = -14

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