.26(10000)-2y=.08(y+10000)

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Solution for .26(10000)-2y=.08(y+10000) equation:


Simplifying
0.26(10000) + -2y = 0.08(y + 10000)

Multiply 0.26 * 10000
2600 + -2y = 0.08(y + 10000)

Reorder the terms:
2600 + -2y = 0.08(10000 + y)
2600 + -2y = (10000 * 0.08 + y * 0.08)
2600 + -2y = (800 + 0.08y)

Solving
2600 + -2y = 800 + 0.08y

Solving for variable 'y'.

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

Add '-0.08y' to each side of the equation.
2600 + -2y + -0.08y = 800 + 0.08y + -0.08y

Combine like terms: -2y + -0.08y = -2.08y
2600 + -2.08y = 800 + 0.08y + -0.08y

Combine like terms: 0.08y + -0.08y = 0.00
2600 + -2.08y = 800 + 0.00
2600 + -2.08y = 800

Add '-2600' to each side of the equation.
2600 + -2600 + -2.08y = 800 + -2600

Combine like terms: 2600 + -2600 = 0
0 + -2.08y = 800 + -2600
-2.08y = 800 + -2600

Combine like terms: 800 + -2600 = -1800
-2.08y = -1800

Divide each side by '-2.08'.
y = 865.3846154

Simplifying
y = 865.3846154

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