37+3y-16=10y-9-2y

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Solution for 37+3y-16=10y-9-2y equation:


Simplifying
37 + 3y + -16 = 10y + -9 + -2y

Reorder the terms:
37 + -16 + 3y = 10y + -9 + -2y

Combine like terms: 37 + -16 = 21
21 + 3y = 10y + -9 + -2y

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

Combine like terms: 10y + -2y = 8y
21 + 3y = -9 + 8y

Solving
21 + 3y = -9 + 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.
21 + 3y + -8y = -9 + 8y + -8y

Combine like terms: 3y + -8y = -5y
21 + -5y = -9 + 8y + -8y

Combine like terms: 8y + -8y = 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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