2y-5+y=10+y-6

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Solution for 2y-5+y=10+y-6 equation:


Simplifying
2y + -5 + y = 10 + y + -6

Reorder the terms:
-5 + 2y + y = 10 + y + -6

Combine like terms: 2y + y = 3y
-5 + 3y = 10 + y + -6

Reorder the terms:
-5 + 3y = 10 + -6 + y

Combine like terms: 10 + -6 = 4
-5 + 3y = 4 + y

Solving
-5 + 3y = 4 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-5 + 3y + -1y = 4 + y + -1y

Combine like terms: 3y + -1y = 2y
-5 + 2y = 4 + y + -1y

Combine like terms: y + -1y = 0
-5 + 2y = 4 + 0
-5 + 2y = 4

Add '5' to each side of the equation.
-5 + 5 + 2y = 4 + 5

Combine like terms: -5 + 5 = 0
0 + 2y = 4 + 5
2y = 4 + 5

Combine like terms: 4 + 5 = 9
2y = 9

Divide each side by '2'.
y = 4.5

Simplifying
y = 4.5

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