8(y+8)+y=3(y+5)-8

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


Simplifying
8(y + 8) + y = 3(y + 5) + -8

Reorder the terms:
8(8 + y) + y = 3(y + 5) + -8
(8 * 8 + y * 8) + y = 3(y + 5) + -8
(64 + 8y) + y = 3(y + 5) + -8

Combine like terms: 8y + y = 9y
64 + 9y = 3(y + 5) + -8

Reorder the terms:
64 + 9y = 3(5 + y) + -8
64 + 9y = (5 * 3 + y * 3) + -8
64 + 9y = (15 + 3y) + -8

Reorder the terms:
64 + 9y = 15 + -8 + 3y

Combine like terms: 15 + -8 = 7
64 + 9y = 7 + 3y

Solving
64 + 9y = 7 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
64 + 9y + -3y = 7 + 3y + -3y

Combine like terms: 9y + -3y = 6y
64 + 6y = 7 + 3y + -3y

Combine like terms: 3y + -3y = 0
64 + 6y = 7 + 0
64 + 6y = 7

Add '-64' to each side of the equation.
64 + -64 + 6y = 7 + -64

Combine like terms: 64 + -64 = 0
0 + 6y = 7 + -64
6y = 7 + -64

Combine like terms: 7 + -64 = -57
6y = -57

Divide each side by '6'.
y = -9.5

Simplifying
y = -9.5

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