3000+0.1(9000+0.20y)=y

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Solution for 3000+0.1(9000+0.20y)=y equation:


Simplifying
3000 + 0.1(9000 + 0.20y) = y
3000 + (9000 * 0.1 + 0.20y * 0.1) = y
3000 + (900 + 0.02y) = y

Combine like terms: 3000 + 900 = 3900
3900 + 0.02y = y

Solving
3900 + 0.02y = y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
3900 + 0.02y + -1y = y + -1y

Combine like terms: 0.02y + -1y = -0.98y
3900 + -0.98y = y + -1y

Combine like terms: y + -1y = 0
3900 + -0.98y = 0

Add '-3900' to each side of the equation.
3900 + -3900 + -0.98y = 0 + -3900

Combine like terms: 3900 + -3900 = 0
0 + -0.98y = 0 + -3900
-0.98y = 0 + -3900

Combine like terms: 0 + -3900 = -3900
-0.98y = -3900

Divide each side by '-0.98'.
y = 3979.591837

Simplifying
y = 3979.591837

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