10(1-2y)=-3(2y-1)

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Solution for 10(1-2y)=-3(2y-1) equation: 


Simplifying
10(1 + -2y) = -3(2y + -1)
(1 * 10 + -2y * 10) = -3(2y + -1)
(10 + -20y) = -3(2y + -1)

Reorder the terms:
10 + -20y = -3(-1 + 2y)
10 + -20y = (-1 * -3 + 2y * -3)
10 + -20y = (3 + -6y)

Solving
10 + -20y = 3 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
10 + -20y + 6y = 3 + -6y + 6y

Combine like terms: -20y + 6y = -14y
10 + -14y = 3 + -6y + 6y

Combine like terms: -6y + 6y = 0
10 + -14y = 3 + 0
10 + -14y = 3

Add '-10' to each side of the equation.
10 + -10 + -14y = 3 + -10

Combine like terms: 10 + -10 = 0
0 + -14y = 3 + -10
-14y = 3 + -10

Combine like terms: 3 + -10 = -7
-14y = -7

Divide each side by '-14'.
y = 0.5

Simplifying
y = 0.5

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