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

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


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

Reorder the terms:
8(2 + y) + y = 3(y + 5) + -2
(2 * 8 + y * 8) + y = 3(y + 5) + -2
(16 + 8y) + y = 3(y + 5) + -2

Combine like terms: 8y + y = 9y
16 + 9y = 3(y + 5) + -2

Reorder the terms:
16 + 9y = 3(5 + y) + -2
16 + 9y = (5 * 3 + y * 3) + -2
16 + 9y = (15 + 3y) + -2

Reorder the terms:
16 + 9y = 15 + -2 + 3y

Combine like terms: 15 + -2 = 13
16 + 9y = 13 + 3y

Solving
16 + 9y = 13 + 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.
16 + 9y + -3y = 13 + 3y + -3y

Combine like terms: 9y + -3y = 6y
16 + 6y = 13 + 3y + -3y

Combine like terms: 3y + -3y = 0
16 + 6y = 13 + 0
16 + 6y = 13

Add '-16' to each side of the equation.
16 + -16 + 6y = 13 + -16

Combine like terms: 16 + -16 = 0
0 + 6y = 13 + -16
6y = 13 + -16

Combine like terms: 13 + -16 = -3
6y = -3

Divide each side by '6'.
y = -0.5

Simplifying
y = -0.5

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