-5(5y-10)=2(3y+8)

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Solution for -5(5y-10)=2(3y+8) equation:


Simplifying
-5(5y + -10) = 2(3y + 8)

Reorder the terms:
-5(-10 + 5y) = 2(3y + 8)
(-10 * -5 + 5y * -5) = 2(3y + 8)
(50 + -25y) = 2(3y + 8)

Reorder the terms:
50 + -25y = 2(8 + 3y)
50 + -25y = (8 * 2 + 3y * 2)
50 + -25y = (16 + 6y)

Solving
50 + -25y = 16 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
50 + -25y + -6y = 16 + 6y + -6y

Combine like terms: -25y + -6y = -31y
50 + -31y = 16 + 6y + -6y

Combine like terms: 6y + -6y = 0
50 + -31y = 16 + 0
50 + -31y = 16

Add '-50' to each side of the equation.
50 + -50 + -31y = 16 + -50

Combine like terms: 50 + -50 = 0
0 + -31y = 16 + -50
-31y = 16 + -50

Combine like terms: 16 + -50 = -34
-31y = -34

Divide each side by '-31'.
y = 1.096774194

Simplifying
y = 1.096774194

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