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

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


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

Reorder the terms:
8(4 + y) + y = 4(y + 5) + -8
(4 * 8 + y * 8) + y = 4(y + 5) + -8
(32 + 8y) + y = 4(y + 5) + -8

Combine like terms: 8y + y = 9y
32 + 9y = 4(y + 5) + -8

Reorder the terms:
32 + 9y = 4(5 + y) + -8
32 + 9y = (5 * 4 + y * 4) + -8
32 + 9y = (20 + 4y) + -8

Reorder the terms:
32 + 9y = 20 + -8 + 4y

Combine like terms: 20 + -8 = 12
32 + 9y = 12 + 4y

Solving
32 + 9y = 12 + 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.
32 + 9y + -4y = 12 + 4y + -4y

Combine like terms: 9y + -4y = 5y
32 + 5y = 12 + 4y + -4y

Combine like terms: 4y + -4y = 0
32 + 5y = 12 + 0
32 + 5y = 12

Add '-32' to each side of the equation.
32 + -32 + 5y = 12 + -32

Combine like terms: 32 + -32 = 0
0 + 5y = 12 + -32
5y = 12 + -32

Combine like terms: 12 + -32 = -20
5y = -20

Divide each side by '5'.
y = -4

Simplifying
y = -4

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