3y-5(5y-2)=-1-5(-5-y)

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Solution for 3y-5(5y-2)=-1-5(-5-y) equation:


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

Reorder the terms:
3y + -5(-2 + 5y) = -1 + -5(-5 + -1y)
3y + (-2 * -5 + 5y * -5) = -1 + -5(-5 + -1y)
3y + (10 + -25y) = -1 + -5(-5 + -1y)

Reorder the terms:
10 + 3y + -25y = -1 + -5(-5 + -1y)

Combine like terms: 3y + -25y = -22y
10 + -22y = -1 + -5(-5 + -1y)
10 + -22y = -1 + (-5 * -5 + -1y * -5)
10 + -22y = -1 + (25 + 5y)

Combine like terms: -1 + 25 = 24
10 + -22y = 24 + 5y

Solving
10 + -22y = 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 + -22y + -5y = 24 + 5y + -5y

Combine like terms: -22y + -5y = -27y
10 + -27y = 24 + 5y + -5y

Combine like terms: 5y + -5y = 0
10 + -27y = 24 + 0
10 + -27y = 24

Add '-10' to each side of the equation.
10 + -10 + -27y = 24 + -10

Combine like terms: 10 + -10 = 0
0 + -27y = 24 + -10
-27y = 24 + -10

Combine like terms: 24 + -10 = 14
-27y = 14

Divide each side by '-27'.
y = -0.5185185185

Simplifying
y = -0.5185185185

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