38+4y-9=13y-13-3y

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Solution for 38+4y-9=13y-13-3y equation:


Simplifying
38 + 4y + -9 = 13y + -13 + -3y

Reorder the terms:
38 + -9 + 4y = 13y + -13 + -3y

Combine like terms: 38 + -9 = 29
29 + 4y = 13y + -13 + -3y

Reorder the terms:
29 + 4y = -13 + 13y + -3y

Combine like terms: 13y + -3y = 10y
29 + 4y = -13 + 10y

Solving
29 + 4y = -13 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
29 + 4y + -10y = -13 + 10y + -10y

Combine like terms: 4y + -10y = -6y
29 + -6y = -13 + 10y + -10y

Combine like terms: 10y + -10y = 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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