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

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


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

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

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

Combine like terms: 4y + -5y = -1y
-6 + 6y = 15 + -1y

Solving
-6 + 6y = 15 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-6 + 6y + y = 15 + -1y + y

Combine like terms: 6y + y = 7y
-6 + 7y = 15 + -1y + y

Combine like terms: -1y + y = 0
-6 + 7y = 15 + 0
-6 + 7y = 15

Add '6' to each side of the equation.
-6 + 6 + 7y = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 7y = 15 + 6
7y = 15 + 6

Combine like terms: 15 + 6 = 21
7y = 21

Divide each side by '7'.
y = 3

Simplifying
y = 3

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