38+4y-6=15y-10-5y

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Solution for 38+4y-6=15y-10-5y equation: 


Simplifying
38 + 4y + -6 = 15y + -10 + -5y

Reorder the terms:
38 + -6 + 4y = 15y + -10 + -5y

Combine like terms: 38 + -6 = 32
32 + 4y = 15y + -10 + -5y

Reorder the terms:
32 + 4y = -10 + 15y + -5y

Combine like terms: 15y + -5y = 10y
32 + 4y = -10 + 10y

Solving
32 + 4y = -10 + 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.
32 + 4y + -10y = -10 + 10y + -10y

Combine like terms: 4y + -10y = -6y
32 + -6y = -10 + 10y + -10y

Combine like terms: 10y + -10y = 0
32 + -6y = -10 + 0
32 + -6y = -10

Add '-32' to each side of the equation.
32 + -32 + -6y = -10 + -32

Combine like terms: 32 + -32 = 0
0 + -6y = -10 + -32
-6y = -10 + -32

Combine like terms: -10 + -32 = -42
-6y = -42

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

Simplifying
y = 7

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