32+2y-10=13y-14-5y

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Solution for 32+2y-10=13y-14-5y equation:


Simplifying
32 + 2y + -10 = 13y + -14 + -5y

Reorder the terms:
32 + -10 + 2y = 13y + -14 + -5y

Combine like terms: 32 + -10 = 22
22 + 2y = 13y + -14 + -5y

Reorder the terms:
22 + 2y = -14 + 13y + -5y

Combine like terms: 13y + -5y = 8y
22 + 2y = -14 + 8y

Solving
22 + 2y = -14 + 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 + 2y + -8y = -14 + 8y + -8y

Combine like terms: 2y + -8y = -6y
22 + -6y = -14 + 8y + -8y

Combine like terms: 8y + -8y = 0
22 + -6y = -14 + 0
22 + -6y = -14

Add '-22' to each side of the equation.
22 + -22 + -6y = -14 + -22

Combine like terms: 22 + -22 = 0
0 + -6y = -14 + -22
-6y = -14 + -22

Combine like terms: -14 + -22 = -36
-6y = -36

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

Simplifying
y = 6

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