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 = -10y
10 + -10y = 5 + -10y + 10y

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

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

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

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

Divide each side by '-10'.
y = 0.5

Simplifying
y = 0.5

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