9(y+4)=5(y-4)

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Solution for 9(y+4)=5(y-4) equation: 


Simplifying
9(y + 4) = 5(y + -4)

Reorder the terms:
9(4 + y) = 5(y + -4)
(4 * 9 + y * 9) = 5(y + -4)
(36 + 9y) = 5(y + -4)

Reorder the terms:
36 + 9y = 5(-4 + y)
36 + 9y = (-4 * 5 + y * 5)
36 + 9y = (-20 + 5y)

Solving
36 + 9y = -20 + 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.
36 + 9y + -5y = -20 + 5y + -5y

Combine like terms: 9y + -5y = 4y
36 + 4y = -20 + 5y + -5y

Combine like terms: 5y + -5y = 0
36 + 4y = -20 + 0
36 + 4y = -20

Add '-36' to each side of the equation.
36 + -36 + 4y = -20 + -36

Combine like terms: 36 + -36 = 0
0 + 4y = -20 + -36
4y = -20 + -36

Combine like terms: -20 + -36 = -56
4y = -56

Divide each side by '4'.
y = -14

Simplifying
y = -14

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