(5y-50)=(3y-10)

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Solution for (5y-50)=(3y-10) equation:


Simplifying
(5y + -50) = (3y + -10)

Reorder the terms:
(-50 + 5y) = (3y + -10)

Remove parenthesis around (-50 + 5y)
-50 + 5y = (3y + -10)

Reorder the terms:
-50 + 5y = (-10 + 3y)

Remove parenthesis around (-10 + 3y)
-50 + 5y = -10 + 3y

Solving
-50 + 5y = -10 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-50 + 5y + -3y = -10 + 3y + -3y

Combine like terms: 5y + -3y = 2y
-50 + 2y = -10 + 3y + -3y

Combine like terms: 3y + -3y = 0
-50 + 2y = -10 + 0
-50 + 2y = -10

Add '50' to each side of the equation.
-50 + 50 + 2y = -10 + 50

Combine like terms: -50 + 50 = 0
0 + 2y = -10 + 50
2y = -10 + 50

Combine like terms: -10 + 50 = 40
2y = 40

Divide each side by '2'.
y = 20

Simplifying
y = 20

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