-6r+250=-100+0.2(y-0.25y)+0.25y

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Solution for -6r+250=-100+0.2(y-0.25y)+0.25y equation: 


Simplifying
-6r + 250 = -100 + 0.2(y + -0.25y) + 0.25y

Reorder the terms:
250 + -6r = -100 + 0.2(y + -0.25y) + 0.25y

Combine like terms: y + -0.25y = 0.75y
250 + -6r = -100 + 0.2(0.75y) + 0.25y

Remove parenthesis around (0.75y)
250 + -6r = -100 + 0.2 * 0.75y + 0.25y

Multiply 0.2 * 0.75
250 + -6r = -100 + 0.15y + 0.25y

Combine like terms: 0.15y + 0.25y = 0.4y
250 + -6r = -100 + 0.4y

Solving
250 + -6r = -100 + 0.4y

Solving for variable 'r'.

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

Add '-250' to each side of the equation.
250 + -250 + -6r = -100 + -250 + 0.4y

Combine like terms: 250 + -250 = 0
0 + -6r = -100 + -250 + 0.4y
-6r = -100 + -250 + 0.4y

Combine like terms: -100 + -250 = -350
-6r = -350 + 0.4y

Divide each side by '-6'.
r = 58.33333333 + -0.06666666667y

Simplifying
r = 58.33333333 + -0.06666666667y

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