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

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


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

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

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

Combine like terms: 24 + -5 = 19
19 + -3y = 9(y + 2) + 1

Reorder the terms:
19 + -3y = 9(2 + y) + 1
19 + -3y = (2 * 9 + y * 9) + 1
19 + -3y = (18 + 9y) + 1

Reorder the terms:
19 + -3y = 18 + 1 + 9y

Combine like terms: 18 + 1 = 19
19 + -3y = 19 + 9y

Add '-19' to each side of the equation.
19 + -19 + -3y = 19 + -19 + 9y

Combine like terms: 19 + -19 = 0
0 + -3y = 19 + -19 + 9y
-3y = 19 + -19 + 9y

Combine like terms: 19 + -19 = 0
-3y = 0 + 9y
-3y = 9y

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

Combine like terms: -3y + -9y = -12y
-12y = 9y + -9y

Combine like terms: 9y + -9y = 0
-12y = 0

Divide each side by '-12'.
y = 0

Simplifying
y = 0

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