5y-9=-(y-1)

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Solution for 5y-9=-(y-1) equation:


Simplifying
5y + -9 = -1(y + -1)

Reorder the terms:
-9 + 5y = -1(y + -1)

Reorder the terms:
-9 + 5y = -1(-1 + y)
-9 + 5y = (-1 * -1 + y * -1)
-9 + 5y = (1 + -1y)

Solving
-9 + 5y = 1 + -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.
-9 + 5y + y = 1 + -1y + y

Combine like terms: 5y + y = 6y
-9 + 6y = 1 + -1y + y

Combine like terms: -1y + y = 0
-9 + 6y = 1 + 0
-9 + 6y = 1

Add '9' to each side of the equation.
-9 + 9 + 6y = 1 + 9

Combine like terms: -9 + 9 = 0
0 + 6y = 1 + 9
6y = 1 + 9

Combine like terms: 1 + 9 = 10
6y = 10

Divide each side by '6'.
y = 1.666666667

Simplifying
y = 1.666666667

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