5y-4y=-(y-2)

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Solution for 5y-4y=-(y-2) equation:


Simplifying
5y + -4y = -1(y + -2)

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

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

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

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

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

Divide each side by '2'.
y = 1

Simplifying
y = 1

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