38+5y-10=15y-12-2y

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Solution for 38+5y-10=15y-12-2y equation:


Simplifying
38 + 5y + -10 = 15y + -12 + -2y

Reorder the terms:
38 + -10 + 5y = 15y + -12 + -2y

Combine like terms: 38 + -10 = 28
28 + 5y = 15y + -12 + -2y

Reorder the terms:
28 + 5y = -12 + 15y + -2y

Combine like terms: 15y + -2y = 13y
28 + 5y = -12 + 13y

Solving
28 + 5y = -12 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
28 + 5y + -13y = -12 + 13y + -13y

Combine like terms: 5y + -13y = -8y
28 + -8y = -12 + 13y + -13y

Combine like terms: 13y + -13y = 0
28 + -8y = -12 + 0
28 + -8y = -12

Add '-28' to each side of the equation.
28 + -28 + -8y = -12 + -28

Combine like terms: 28 + -28 = 0
0 + -8y = -12 + -28
-8y = -12 + -28

Combine like terms: -12 + -28 = -40
-8y = -40

Divide each side by '-8'.
y = 5

Simplifying
y = 5

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