34+3y-9=13y-10-5y

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Solution for 34+3y-9=13y-10-5y equation:


Simplifying
34 + 3y + -9 = 13y + -10 + -5y

Reorder the terms:
34 + -9 + 3y = 13y + -10 + -5y

Combine like terms: 34 + -9 = 25
25 + 3y = 13y + -10 + -5y

Reorder the terms:
25 + 3y = -10 + 13y + -5y

Combine like terms: 13y + -5y = 8y
25 + 3y = -10 + 8y

Solving
25 + 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.
25 + 3y + -8y = -10 + 8y + -8y

Combine like terms: 3y + -8y = -5y
25 + -5y = -10 + 8y + -8y

Combine like terms: 8y + -8y = 0
25 + -5y = -10 + 0
25 + -5y = -10

Add '-25' to each side of the equation.
25 + -25 + -5y = -10 + -25

Combine like terms: 25 + -25 = 0
0 + -5y = -10 + -25
-5y = -10 + -25

Combine like terms: -10 + -25 = -35
-5y = -35

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

Simplifying
y = 7

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