9Y+3(y-6)=78

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Solution for 9Y+3(y-6)=78 equation:


Simplifying
9Y + 3(y + -6) = 78

Reorder the terms:
9Y + 3(-6 + y) = 78
9Y + (-6 * 3 + y * 3) = 78
9Y + (-18 + 3y) = 78

Reorder the terms:
-18 + 9Y + 3y = 78

Solving
-18 + 9Y + 3y = 78

Solving for variable 'Y'.

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

Add '18' to each side of the equation.
-18 + 9Y + 18 + 3y = 78 + 18

Reorder the terms:
-18 + 18 + 9Y + 3y = 78 + 18

Combine like terms: -18 + 18 = 0
0 + 9Y + 3y = 78 + 18
9Y + 3y = 78 + 18

Combine like terms: 78 + 18 = 96
9Y + 3y = 96

Add '-3y' to each side of the equation.
9Y + 3y + -3y = 96 + -3y

Combine like terms: 3y + -3y = 0
9Y + 0 = 96 + -3y
9Y = 96 + -3y

Divide each side by '9'.
Y = 10.66666667 + -0.3333333333y

Simplifying
Y = 10.66666667 + -0.3333333333y

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