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

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


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

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

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

Solving for variable 'y'.

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

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

Combine like terms: -20y + 5y = -15y
10 + -15y = 5 + -5y + 5y

Combine like terms: -5y + 5y = 0
10 + -15y = 5 + 0
10 + -15y = 5

Add '-10' to each side of the equation.
10 + -10 + -15y = 5 + -10

Combine like terms: 10 + -10 = 0
0 + -15y = 5 + -10
-15y = 5 + -10

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

Divide each side by '-15'.
y = 0.3333333333

Simplifying
y = 0.3333333333

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