8=4(y+6)-8y

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


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

Reorder the terms:
8 = 4(6 + y) + -8y
8 = (6 * 4 + y * 4) + -8y
8 = (24 + 4y) + -8y

Combine like terms: 4y + -8y = -4y
8 = 24 + -4y

Solving
8 = 24 + -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.
8 + 4y = 24 + -4y + 4y

Combine like terms: -4y + 4y = 0
8 + 4y = 24 + 0
8 + 4y = 24

Add '-8' to each side of the equation.
8 + -8 + 4y = 24 + -8

Combine like terms: 8 + -8 = 0
0 + 4y = 24 + -8
4y = 24 + -8

Combine like terms: 24 + -8 = 16
4y = 16

Divide each side by '4'.
y = 4

Simplifying
y = 4

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