8(y+4)=104-y

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Solution for 8(y+4)=104-y equation:


Simplifying
8(y + 4) = 104 + -1y

Reorder the terms:
8(4 + y) = 104 + -1y
(4 * 8 + y * 8) = 104 + -1y
(32 + 8y) = 104 + -1y

Solving
32 + 8y = 104 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
32 + 8y + y = 104 + -1y + y

Combine like terms: 8y + y = 9y
32 + 9y = 104 + -1y + y

Combine like terms: -1y + y = 0
32 + 9y = 104 + 0
32 + 9y = 104

Add '-32' to each side of the equation.
32 + -32 + 9y = 104 + -32

Combine like terms: 32 + -32 = 0
0 + 9y = 104 + -32
9y = 104 + -32

Combine like terms: 104 + -32 = 72
9y = 72

Divide each side by '9'.
y = 8

Simplifying
y = 8

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