(10y)+(5*50)=((y+5)*25)

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Solution for (10y)+(5*50)=((y+5)*25) equation:


Simplifying
(10y) + (5 * 50) = ((y + 5) * 25)

Multiply 5 * 50
(10y) + (250) = ((y + 5) * 25)
(10y) + 250 = ((y + 5) * 25)

Reorder the terms:
250 + (10y) = ((y + 5) * 25)

Reorder the terms:
250 + (10y) = ((5 + y) * 25)

Reorder the terms for easier multiplication:
250 + (10y) = (25(5 + y))
250 + (10y) = ((5 * 25 + y * 25))
250 + (10y) = ((125 + 25y))
250 + (10y) = (125 + 25y)

Remove parenthesis around (125 + 25y)
250 + (10y) = 125 + 25y

Solving
250 + (10y) = 125 + 25y

Solving for variable 'y'.

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

Add '-25y' to each side of the equation.
250 + (10y) + -25y = 125 + 25y + -25y

Combine like terms: (10y) + -25y = -15y
250 + -15y = 125 + 25y + -25y

Combine like terms: 25y + -25y = 0
250 + -15y = 125 + 0
250 + -15y = 125

Add '-250' to each side of the equation.
250 + -250 + -15y = 125 + -250

Combine like terms: 250 + -250 = 0
0 + -15y = 125 + -250
-15y = 125 + -250

Combine like terms: 125 + -250 = -125
-15y = -125

Divide each side by '-15'.
y = 8.333333333

Simplifying
y = 8.333333333

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