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

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


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

Reorder the terms:
4y + -5(-4 + 2y) = 5 + -4(4 + -1y)
4y + (-4 * -5 + 2y * -5) = 5 + -4(4 + -1y)
4y + (20 + -10y) = 5 + -4(4 + -1y)

Reorder the terms:
20 + 4y + -10y = 5 + -4(4 + -1y)

Combine like terms: 4y + -10y = -6y
20 + -6y = 5 + -4(4 + -1y)
20 + -6y = 5 + (4 * -4 + -1y * -4)
20 + -6y = 5 + (-16 + 4y)

Combine like terms: 5 + -16 = -11
20 + -6y = -11 + 4y

Solving
20 + -6y = -11 + 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.
20 + -6y + -4y = -11 + 4y + -4y

Combine like terms: -6y + -4y = -10y
20 + -10y = -11 + 4y + -4y

Combine like terms: 4y + -4y = 0
20 + -10y = -11 + 0
20 + -10y = -11

Add '-20' to each side of the equation.
20 + -20 + -10y = -11 + -20

Combine like terms: 20 + -20 = 0
0 + -10y = -11 + -20
-10y = -11 + -20

Combine like terms: -11 + -20 = -31
-10y = -31

Divide each side by '-10'.
y = 3.1

Simplifying
y = 3.1

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