2y-1=-y+8

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Solution for 2y-1=-y+8 equation:


Simplifying
2y + -1 = -1y + 8

Reorder the terms:
-1 + 2y = -1y + 8

Reorder the terms:
-1 + 2y = 8 + -1y

Solving
-1 + 2y = 8 + -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.
-1 + 2y + y = 8 + -1y + y

Combine like terms: 2y + y = 3y
-1 + 3y = 8 + -1y + y

Combine like terms: -1y + y = 0
-1 + 3y = 8 + 0
-1 + 3y = 8

Add '1' to each side of the equation.
-1 + 1 + 3y = 8 + 1

Combine like terms: -1 + 1 = 0
0 + 3y = 8 + 1
3y = 8 + 1

Combine like terms: 8 + 1 = 9
3y = 9

Divide each side by '3'.
y = 3

Simplifying
y = 3

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