33+3y-4=14y-13-5y

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Solution for 33+3y-4=14y-13-5y equation:


Simplifying
33 + 3y + -4 = 14y + -13 + -5y

Reorder the terms:
33 + -4 + 3y = 14y + -13 + -5y

Combine like terms: 33 + -4 = 29
29 + 3y = 14y + -13 + -5y

Reorder the terms:
29 + 3y = -13 + 14y + -5y

Combine like terms: 14y + -5y = 9y
29 + 3y = -13 + 9y

Solving
29 + 3y = -13 + 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.
29 + 3y + -9y = -13 + 9y + -9y

Combine like terms: 3y + -9y = -6y
29 + -6y = -13 + 9y + -9y

Combine like terms: 9y + -9y = 0
29 + -6y = -13 + 0
29 + -6y = -13

Add '-29' to each side of the equation.
29 + -29 + -6y = -13 + -29

Combine like terms: 29 + -29 = 0
0 + -6y = -13 + -29
-6y = -13 + -29

Combine like terms: -13 + -29 = -42
-6y = -42

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

Simplifying
y = 7

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