10(1-2y)=5(2y-1)

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Solution for 10(1-2y)=5(2y-1) equation: 


Simplifying
10(1 + -2y) = 5(2y + -1)
(1 * 10 + -2y * 10) = 5(2y + -1)
(10 + -20y) = 5(2y + -1)

Reorder the terms:
10 + -20y = 5(-1 + 2y)
10 + -20y = (-1 * 5 + 2y * 5)
10 + -20y = (-5 + 10y)

Solving
10 + -20y = -5 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
10 + -20y + -10y = -5 + 10y + -10y

Combine like terms: -20y + -10y = -30y
10 + -30y = -5 + 10y + -10y

Combine like terms: 10y + -10y = 0
10 + -30y = -5 + 0
10 + -30y = -5

Add '-10' to each side of the equation.
10 + -10 + -30y = -5 + -10

Combine like terms: 10 + -10 = 0
0 + -30y = -5 + -10
-30y = -5 + -10

Combine like terms: -5 + -10 = -15
-30y = -15

Divide each side by '-30'.
y = 0.5

Simplifying
y = 0.5

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