27+2y-6=10y-9-3y

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Solution for 27+2y-6=10y-9-3y equation:


Simplifying
27 + 2y + -6 = 10y + -9 + -3y

Reorder the terms:
27 + -6 + 2y = 10y + -9 + -3y

Combine like terms: 27 + -6 = 21
21 + 2y = 10y + -9 + -3y

Reorder the terms:
21 + 2y = -9 + 10y + -3y

Combine like terms: 10y + -3y = 7y
21 + 2y = -9 + 7y

Solving
21 + 2y = -9 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
21 + 2y + -7y = -9 + 7y + -7y

Combine like terms: 2y + -7y = -5y
21 + -5y = -9 + 7y + -7y

Combine like terms: 7y + -7y = 0
21 + -5y = -9 + 0
21 + -5y = -9

Add '-21' to each side of the equation.
21 + -21 + -5y = -9 + -21

Combine like terms: 21 + -21 = 0
0 + -5y = -9 + -21
-5y = -9 + -21

Combine like terms: -9 + -21 = -30
-5y = -30

Divide each side by '-5'.
y = 6

Simplifying
y = 6

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