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

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


Simplifying
5(1 + -2y) = 4(2 + -1y)
(1 * 5 + -2y * 5) = 4(2 + -1y)
(5 + -10y) = 4(2 + -1y)
5 + -10y = (2 * 4 + -1y * 4)
5 + -10y = (8 + -4y)

Solving
5 + -10y = 8 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
5 + -10y + 4y = 8 + -4y + 4y

Combine like terms: -10y + 4y = -6y
5 + -6y = 8 + -4y + 4y

Combine like terms: -4y + 4y = 0
5 + -6y = 8 + 0
5 + -6y = 8

Add '-5' to each side of the equation.
5 + -5 + -6y = 8 + -5

Combine like terms: 5 + -5 = 0
0 + -6y = 8 + -5
-6y = 8 + -5

Combine like terms: 8 + -5 = 3
-6y = 3

Divide each side by '-6'.
y = -0.5

Simplifying
y = -0.5

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