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

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


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

Reorder the terms:
(-8 + 2y) = 9(y + 4)

Remove parenthesis around (-8 + 2y)
-8 + 2y = 9(y + 4)

Reorder the terms:
-8 + 2y = 9(4 + y)
-8 + 2y = (4 * 9 + y * 9)
-8 + 2y = (36 + 9y)

Solving
-8 + 2y = 36 + 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.
-8 + 2y + -9y = 36 + 9y + -9y

Combine like terms: 2y + -9y = -7y
-8 + -7y = 36 + 9y + -9y

Combine like terms: 9y + -9y = 0
-8 + -7y = 36 + 0
-8 + -7y = 36

Add '8' to each side of the equation.
-8 + 8 + -7y = 36 + 8

Combine like terms: -8 + 8 = 0
0 + -7y = 36 + 8
-7y = 36 + 8

Combine like terms: 36 + 8 = 44
-7y = 44

Divide each side by '-7'.
y = -6.285714286

Simplifying
y = -6.285714286

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