5(y+6)+y=4(y+4)-8

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Solution for 5(y+6)+y=4(y+4)-8 equation: 


Simplifying
5(y + 6) + y = 4(y + 4) + -8

Reorder the terms:
5(6 + y) + y = 4(y + 4) + -8
(6 * 5 + y * 5) + y = 4(y + 4) + -8
(30 + 5y) + y = 4(y + 4) + -8

Combine like terms: 5y + y = 6y
30 + 6y = 4(y + 4) + -8

Reorder the terms:
30 + 6y = 4(4 + y) + -8
30 + 6y = (4 * 4 + y * 4) + -8
30 + 6y = (16 + 4y) + -8

Reorder the terms:
30 + 6y = 16 + -8 + 4y

Combine like terms: 16 + -8 = 8
30 + 6y = 8 + 4y

Solving
30 + 6y = 8 + 4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-4y' to each side of the equation.
30 + 6y + -4y = 8 + 4y + -4y

Combine like terms: 6y + -4y = 2y
30 + 2y = 8 + 4y + -4y

Combine like terms: 4y + -4y = 0
30 + 2y = 8 + 0
30 + 2y = 8

Add '-30' to each side of the equation.
30 + -30 + 2y = 8 + -30

Combine like terms: 30 + -30 = 0
0 + 2y = 8 + -30
2y = 8 + -30

Combine like terms: 8 + -30 = -22
2y = -22

Divide each side by '2'.
y = -11

Simplifying
y = -11

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