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

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


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

Reorder the terms:
5(-1 + 2y) + -1y = -2
(-1 * 5 + 2y * 5) + -1y = -2
(-5 + 10y) + -1y = -2

Combine like terms: 10y + -1y = 9y
-5 + 9y = -2

Solving
-5 + 9y = -2

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + 9y = -2 + 5

Combine like terms: -5 + 5 = 0
0 + 9y = -2 + 5
9y = -2 + 5

Combine like terms: -2 + 5 = 3
9y = 3

Divide each side by '9'.
y = 0.3333333333

Simplifying
y = 0.3333333333

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