-4y+13y+5=6y+32

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Solution for -4y+13y+5=6y+32 equation:


Simplifying
-4y + 13y + 5 = 6y + 32

Reorder the terms:
5 + -4y + 13y = 6y + 32

Combine like terms: -4y + 13y = 9y
5 + 9y = 6y + 32

Reorder the terms:
5 + 9y = 32 + 6y

Solving
5 + 9y = 32 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
5 + 9y + -6y = 32 + 6y + -6y

Combine like terms: 9y + -6y = 3y
5 + 3y = 32 + 6y + -6y

Combine like terms: 6y + -6y = 0
5 + 3y = 32 + 0
5 + 3y = 32

Add '-5' to each side of the equation.
5 + -5 + 3y = 32 + -5

Combine like terms: 5 + -5 = 0
0 + 3y = 32 + -5
3y = 32 + -5

Combine like terms: 32 + -5 = 27
3y = 27

Divide each side by '3'.
y = 9

Simplifying
y = 9

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