2y-(y-1)=y-5+y

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Solution for 2y-(y-1)=y-5+y equation:


Simplifying
2y + -1(y + -1) = y + -5 + y

Reorder the terms:
2y + -1(-1 + y) = y + -5 + y
2y + (-1 * -1 + y * -1) = y + -5 + y
2y + (1 + -1y) = y + -5 + y

Reorder the terms:
1 + 2y + -1y = y + -5 + y

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

Reorder the terms:
1 + 1y = -5 + y + y

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

Solving
1 + 1y = -5 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
1 + 1y + -2y = -5 + 2y + -2y

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

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

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

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

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

Divide each side by '-1'.
y = 6

Simplifying
y = 6

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