2y-5(2y-3)=2-4(-2-y)

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Solution for 2y-5(2y-3)=2-4(-2-y) equation: 


Simplifying
2y + -5(2y + -3) = 2 + -4(-2 + -1y)

Reorder the terms:
2y + -5(-3 + 2y) = 2 + -4(-2 + -1y)
2y + (-3 * -5 + 2y * -5) = 2 + -4(-2 + -1y)
2y + (15 + -10y) = 2 + -4(-2 + -1y)

Reorder the terms:
15 + 2y + -10y = 2 + -4(-2 + -1y)

Combine like terms: 2y + -10y = -8y
15 + -8y = 2 + -4(-2 + -1y)
15 + -8y = 2 + (-2 * -4 + -1y * -4)
15 + -8y = 2 + (8 + 4y)

Combine like terms: 2 + 8 = 10
15 + -8y = 10 + 4y

Solving
15 + -8y = 10 + 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.
15 + -8y + -4y = 10 + 4y + -4y

Combine like terms: -8y + -4y = -12y
15 + -12y = 10 + 4y + -4y

Combine like terms: 4y + -4y = 0
15 + -12y = 10 + 0
15 + -12y = 10

Add '-15' to each side of the equation.
15 + -15 + -12y = 10 + -15

Combine like terms: 15 + -15 = 0
0 + -12y = 10 + -15
-12y = 10 + -15

Combine like terms: 10 + -15 = -5
-12y = -5

Divide each side by '-12'.
y = 0.4166666667

Simplifying
y = 0.4166666667

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