3(y-8)-1=9(y+2)+5

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Solution for 3(y-8)-1=9(y+2)+5 equation: 


Simplifying
3(y + -8) + -1 = 9(y + 2) + 5

Reorder the terms:
3(-8 + y) + -1 = 9(y + 2) + 5
(-8 * 3 + y * 3) + -1 = 9(y + 2) + 5
(-24 + 3y) + -1 = 9(y + 2) + 5

Reorder the terms:
-24 + -1 + 3y = 9(y + 2) + 5

Combine like terms: -24 + -1 = -25
-25 + 3y = 9(y + 2) + 5

Reorder the terms:
-25 + 3y = 9(2 + y) + 5
-25 + 3y = (2 * 9 + y * 9) + 5
-25 + 3y = (18 + 9y) + 5

Reorder the terms:
-25 + 3y = 18 + 5 + 9y

Combine like terms: 18 + 5 = 23
-25 + 3y = 23 + 9y

Solving
-25 + 3y = 23 + 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.
-25 + 3y + -9y = 23 + 9y + -9y

Combine like terms: 3y + -9y = -6y
-25 + -6y = 23 + 9y + -9y

Combine like terms: 9y + -9y = 0
-25 + -6y = 23 + 0
-25 + -6y = 23

Add '25' to each side of the equation.
-25 + 25 + -6y = 23 + 25

Combine like terms: -25 + 25 = 0
0 + -6y = 23 + 25
-6y = 23 + 25

Combine like terms: 23 + 25 = 48
-6y = 48

Divide each side by '-6'.
y = -8

Simplifying
y = -8

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