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

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Solution for 5(2y-1)=(y-4) equation:


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

Reorder the terms:
5(-1 + 2y) = (y + -4)
(-1 * 5 + 2y * 5) = (y + -4)
(-5 + 10y) = (y + -4)

Reorder the terms:
-5 + 10y = (-4 + y)

Remove parenthesis around (-4 + y)
-5 + 10y = -4 + y

Solving
-5 + 10y = -4 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-5 + 10y + -1y = -4 + y + -1y

Combine like terms: 10y + -1y = 9y
-5 + 9y = -4 + y + -1y

Combine like terms: y + -1y = 0
-5 + 9y = -4 + 0
-5 + 9y = -4

Add '5' to each side of the equation.
-5 + 5 + 9y = -4 + 5

Combine like terms: -5 + 5 = 0
0 + 9y = -4 + 5
9y = -4 + 5

Combine like terms: -4 + 5 = 1
9y = 1

Divide each side by '9'.
y = 0.1111111111

Simplifying
y = 0.1111111111

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