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

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


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

Reorder the terms:
5(8 + y) + y = 3(y + 4) + -8
(8 * 5 + y * 5) + y = 3(y + 4) + -8
(40 + 5y) + y = 3(y + 4) + -8

Combine like terms: 5y + y = 6y
40 + 6y = 3(y + 4) + -8

Reorder the terms:
40 + 6y = 3(4 + y) + -8
40 + 6y = (4 * 3 + y * 3) + -8
40 + 6y = (12 + 3y) + -8

Reorder the terms:
40 + 6y = 12 + -8 + 3y

Combine like terms: 12 + -8 = 4
40 + 6y = 4 + 3y

Solving
40 + 6y = 4 + 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 + 6y + -3y = 4 + 3y + -3y

Combine like terms: 6y + -3y = 3y
40 + 3y = 4 + 3y + -3y

Combine like terms: 3y + -3y = 0
40 + 3y = 4 + 0
40 + 3y = 4

Add '-40' to each side of the equation.
40 + -40 + 3y = 4 + -40

Combine like terms: 40 + -40 = 0
0 + 3y = 4 + -40
3y = 4 + -40

Combine like terms: 4 + -40 = -36
3y = -36

Divide each side by '3'.
y = -12

Simplifying
y = -12

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