8(y+4)+y=3(y+5)+2

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Solution for 8(y+4)+y=3(y+5)+2 equation: 


Simplifying
8(y + 4) + y = 3(y + 5) + 2

Reorder the terms:
8(4 + y) + y = 3(y + 5) + 2
(4 * 8 + y * 8) + y = 3(y + 5) + 2
(32 + 8y) + y = 3(y + 5) + 2

Combine like terms: 8y + y = 9y
32 + 9y = 3(y + 5) + 2

Reorder the terms:
32 + 9y = 3(5 + y) + 2
32 + 9y = (5 * 3 + y * 3) + 2
32 + 9y = (15 + 3y) + 2

Reorder the terms:
32 + 9y = 15 + 2 + 3y

Combine like terms: 15 + 2 = 17
32 + 9y = 17 + 3y

Solving
32 + 9y = 17 + 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.
32 + 9y + -3y = 17 + 3y + -3y

Combine like terms: 9y + -3y = 6y
32 + 6y = 17 + 3y + -3y

Combine like terms: 3y + -3y = 0
32 + 6y = 17 + 0
32 + 6y = 17

Add '-32' to each side of the equation.
32 + -32 + 6y = 17 + -32

Combine like terms: 32 + -32 = 0
0 + 6y = 17 + -32
6y = 17 + -32

Combine like terms: 17 + -32 = -15
6y = -15

Divide each side by '6'.
y = -2.5

Simplifying
y = -2.5

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