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

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


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

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

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

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

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

Combine like terms: 9 + -2 = 7
32 + 9y = 7 + 3y

Solving
32 + 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.
32 + 9y + -3y = 7 + 3y + -3y

Combine like terms: 9y + -3y = 6y
32 + 6y = 7 + 3y + -3y

Combine like terms: 3y + -3y = 0
32 + 6y = 7 + 0
32 + 6y = 7

Add '-32' to each side of the equation.
32 + -32 + 6y = 7 + -32

Combine like terms: 32 + -32 = 0
0 + 6y = 7 + -32
6y = 7 + -32

Combine like terms: 7 + -32 = -25
6y = -25

Divide each side by '6'.
y = -4.166666667

Simplifying
y = -4.166666667

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