(500+y)-0.015(500+y)=500

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Solution for (500+y)-0.015(500+y)=500 equation: 


Simplifying
(500 + y) + -0.015(500 + y) = 500

Remove parenthesis around (500 + y)
500 + y + -0.015(500 + y) = 500
500 + y + (500 * -0.015 + y * -0.015) = 500
500 + y + (-7.5 + -0.015y) = 500

Reorder the terms:
500 + -7.5 + y + -0.015y = 500

Combine like terms: 500 + -7.5 = 492.5
492.5 + y + -0.015y = 500

Combine like terms: y + -0.015y = 0.985y
492.5 + 0.985y = 500

Solving
492.5 + 0.985y = 500

Solving for variable 'y'.

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

Add '-492.5' to each side of the equation.
492.5 + -492.5 + 0.985y = 500 + -492.5

Combine like terms: 492.5 + -492.5 = 0.0
0.0 + 0.985y = 500 + -492.5
0.985y = 500 + -492.5

Combine like terms: 500 + -492.5 = 7.5
0.985y = 7.5

Divide each side by '0.985'.
y = 7.614213198

Simplifying
y = 7.614213198

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