53+3y-20=12y-9-3y

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Solution for 53+3y-20=12y-9-3y equation:


Simplifying
53 + 3y + -20 = 12y + -9 + -3y

Reorder the terms:
53 + -20 + 3y = 12y + -9 + -3y

Combine like terms: 53 + -20 = 33
33 + 3y = 12y + -9 + -3y

Reorder the terms:
33 + 3y = -9 + 12y + -3y

Combine like terms: 12y + -3y = 9y
33 + 3y = -9 + 9y

Solving
33 + 3y = -9 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
33 + 3y + -9y = -9 + 9y + -9y

Combine like terms: 3y + -9y = -6y
33 + -6y = -9 + 9y + -9y

Combine like terms: 9y + -9y = 0
33 + -6y = -9 + 0
33 + -6y = -9

Add '-33' to each side of the equation.
33 + -33 + -6y = -9 + -33

Combine like terms: 33 + -33 = 0
0 + -6y = -9 + -33
-6y = -9 + -33

Combine like terms: -9 + -33 = -42
-6y = -42

Divide each side by '-6'.
y = 7

Simplifying
y = 7

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