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

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


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

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

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

Combine like terms: 2y + -10y = -8y
10 + -8y = -4 + -5(4 + -1y)
10 + -8y = -4 + (4 * -5 + -1y * -5)
10 + -8y = -4 + (-20 + 5y)

Combine like terms: -4 + -20 = -24
10 + -8y = -24 + 5y

Solving
10 + -8y = -24 + 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 + -8y + -5y = -24 + 5y + -5y

Combine like terms: -8y + -5y = -13y
10 + -13y = -24 + 5y + -5y

Combine like terms: 5y + -5y = 0
10 + -13y = -24 + 0
10 + -13y = -24

Add '-10' to each side of the equation.
10 + -10 + -13y = -24 + -10

Combine like terms: 10 + -10 = 0
0 + -13y = -24 + -10
-13y = -24 + -10

Combine like terms: -24 + -10 = -34
-13y = -34

Divide each side by '-13'.
y = 2.615384615

Simplifying
y = 2.615384615

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