4(y-8)+9y=36

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Solution for 4(y-8)+9y=36 equation:


Simplifying
4(y + -8) + 9y = 36

Reorder the terms:
4(-8 + y) + 9y = 36
(-8 * 4 + y * 4) + 9y = 36
(-32 + 4y) + 9y = 36

Combine like terms: 4y + 9y = 13y
-32 + 13y = 36

Solving
-32 + 13y = 36

Solving for variable 'y'.

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

Add '32' to each side of the equation.
-32 + 32 + 13y = 36 + 32

Combine like terms: -32 + 32 = 0
0 + 13y = 36 + 32
13y = 36 + 32

Combine like terms: 36 + 32 = 68
13y = 68

Divide each side by '13'.
y = 5.230769231

Simplifying
y = 5.230769231

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