27+3y-10=13y-13-4y

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Solution for 27+3y-10=13y-13-4y equation:


Simplifying
27 + 3y + -10 = 13y + -13 + -4y

Reorder the terms:
27 + -10 + 3y = 13y + -13 + -4y

Combine like terms: 27 + -10 = 17
17 + 3y = 13y + -13 + -4y

Reorder the terms:
17 + 3y = -13 + 13y + -4y

Combine like terms: 13y + -4y = 9y
17 + 3y = -13 + 9y

Solving
17 + 3y = -13 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
17 + 3y + -9y = -13 + 9y + -9y

Combine like terms: 3y + -9y = -6y
17 + -6y = -13 + 9y + -9y

Combine like terms: 9y + -9y = 0
17 + -6y = -13 + 0
17 + -6y = -13

Add '-17' to each side of the equation.
17 + -17 + -6y = -13 + -17

Combine like terms: 17 + -17 = 0
0 + -6y = -13 + -17
-6y = -13 + -17

Combine like terms: -13 + -17 = -30
-6y = -30

Divide each side by '-6'.
y = 5

Simplifying
y = 5

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