16=4y+4(y-8)

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Solution for 16=4y+4(y-8) equation:


Simplifying
16 = 4y + 4(y + -8)

Reorder the terms:
16 = 4y + 4(-8 + y)
16 = 4y + (-8 * 4 + y * 4)
16 = 4y + (-32 + 4y)

Reorder the terms:
16 = -32 + 4y + 4y

Combine like terms: 4y + 4y = 8y
16 = -32 + 8y

Solving
16 = -32 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
16 + -8y = -32 + 8y + -8y

Combine like terms: 8y + -8y = 0
16 + -8y = -32 + 0
16 + -8y = -32

Add '-16' to each side of the equation.
16 + -16 + -8y = -32 + -16

Combine like terms: 16 + -16 = 0
0 + -8y = -32 + -16
-8y = -32 + -16

Combine like terms: -32 + -16 = -48
-8y = -48

Divide each side by '-8'.
y = 6

Simplifying
y = 6

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