34+3y-12=13y-13-5y

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Solution for 34+3y-12=13y-13-5y equation:


Simplifying
34 + 3y + -12 = 13y + -13 + -5y

Reorder the terms:
34 + -12 + 3y = 13y + -13 + -5y

Combine like terms: 34 + -12 = 22
22 + 3y = 13y + -13 + -5y

Reorder the terms:
22 + 3y = -13 + 13y + -5y

Combine like terms: 13y + -5y = 8y
22 + 3y = -13 + 8y

Solving
22 + 3y = -13 + 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.
22 + 3y + -8y = -13 + 8y + -8y

Combine like terms: 3y + -8y = -5y
22 + -5y = -13 + 8y + -8y

Combine like terms: 8y + -8y = 0
22 + -5y = -13 + 0
22 + -5y = -13

Add '-22' to each side of the equation.
22 + -22 + -5y = -13 + -22

Combine like terms: 22 + -22 = 0
0 + -5y = -13 + -22
-5y = -13 + -22

Combine like terms: -13 + -22 = -35
-5y = -35

Divide each side by '-5'.
y = 7

Simplifying
y = 7

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