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

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


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

Reorder the terms:
8(5 + y) + y = 3(y + 3) + 2
(5 * 8 + y * 8) + y = 3(y + 3) + 2
(40 + 8y) + y = 3(y + 3) + 2

Combine like terms: 8y + y = 9y
40 + 9y = 3(y + 3) + 2

Reorder the terms:
40 + 9y = 3(3 + y) + 2
40 + 9y = (3 * 3 + y * 3) + 2
40 + 9y = (9 + 3y) + 2

Reorder the terms:
40 + 9y = 9 + 2 + 3y

Combine like terms: 9 + 2 = 11
40 + 9y = 11 + 3y

Solving
40 + 9y = 11 + 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.
40 + 9y + -3y = 11 + 3y + -3y

Combine like terms: 9y + -3y = 6y
40 + 6y = 11 + 3y + -3y

Combine like terms: 3y + -3y = 0
40 + 6y = 11 + 0
40 + 6y = 11

Add '-40' to each side of the equation.
40 + -40 + 6y = 11 + -40

Combine like terms: 40 + -40 = 0
0 + 6y = 11 + -40
6y = 11 + -40

Combine like terms: 11 + -40 = -29
6y = -29

Divide each side by '6'.
y = -4.833333333

Simplifying
y = -4.833333333

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