4(5y+4)=9(y-8)

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Solution for 4(5y+4)=9(y-8) equation: 


Simplifying
4(5y + 4) = 9(y + -8)

Reorder the terms:
4(4 + 5y) = 9(y + -8)
(4 * 4 + 5y * 4) = 9(y + -8)
(16 + 20y) = 9(y + -8)

Reorder the terms:
16 + 20y = 9(-8 + y)
16 + 20y = (-8 * 9 + y * 9)
16 + 20y = (-72 + 9y)

Solving
16 + 20y = -72 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
16 + 20y + -9y = -72 + 9y + -9y

Combine like terms: 20y + -9y = 11y
16 + 11y = -72 + 9y + -9y

Combine like terms: 9y + -9y = 0
16 + 11y = -72 + 0
16 + 11y = -72

Add '-16' to each side of the equation.
16 + -16 + 11y = -72 + -16

Combine like terms: 16 + -16 = 0
0 + 11y = -72 + -16
11y = -72 + -16

Combine like terms: -72 + -16 = -88
11y = -88

Divide each side by '11'.
y = -8

Simplifying
y = -8

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