33+3y-13=10y-10-2y

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Solution for 33+3y-13=10y-10-2y equation:


Simplifying
33 + 3y + -13 = 10y + -10 + -2y

Reorder the terms:
33 + -13 + 3y = 10y + -10 + -2y

Combine like terms: 33 + -13 = 20
20 + 3y = 10y + -10 + -2y

Reorder the terms:
20 + 3y = -10 + 10y + -2y

Combine like terms: 10y + -2y = 8y
20 + 3y = -10 + 8y

Solving
20 + 3y = -10 + 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.
20 + 3y + -8y = -10 + 8y + -8y

Combine like terms: 3y + -8y = -5y
20 + -5y = -10 + 8y + -8y

Combine like terms: 8y + -8y = 0
20 + -5y = -10 + 0
20 + -5y = -10

Add '-20' to each side of the equation.
20 + -20 + -5y = -10 + -20

Combine like terms: 20 + -20 = 0
0 + -5y = -10 + -20
-5y = -10 + -20

Combine like terms: -10 + -20 = -30
-5y = -30

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

Simplifying
y = 6

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