6=6y+8(y+6)

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


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

Reorder the terms:
6 = 6y + 8(6 + y)
6 = 6y + (6 * 8 + y * 8)
6 = 6y + (48 + 8y)

Reorder the terms:
6 = 48 + 6y + 8y

Combine like terms: 6y + 8y = 14y
6 = 48 + 14y

Solving
6 = 48 + 14y

Solving for variable 'y'.

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

Add '-14y' to each side of the equation.
6 + -14y = 48 + 14y + -14y

Combine like terms: 14y + -14y = 0
6 + -14y = 48 + 0
6 + -14y = 48

Add '-6' to each side of the equation.
6 + -6 + -14y = 48 + -6

Combine like terms: 6 + -6 = 0
0 + -14y = 48 + -6
-14y = 48 + -6

Combine like terms: 48 + -6 = 42
-14y = 42

Divide each side by '-14'.
y = -3

Simplifying
y = -3

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