y=[2600+.8(y-3000)-10000(.10)]+2000-10000(.10)

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Solution for y=[2600+.8(y-3000)-10000(.10)]+2000-10000(.10) equation: 


Simplifying
y = [2600 + 0.8(y + -3000) + -10000(0.10)] + 2000 + -10000(0.10)

Reorder the terms:
y = [2600 + 0.8(-3000 + y) + -10000(0.10)] + 2000 + -10000(0.10)
y = [2600 + (-3000 * 0.8 + y * 0.8) + -10000(0.10)] + 2000 + -10000(0.10)
y = [2600 + (-2400 + 0.8y) + -10000(0.10)] + 2000 + -10000(0.10)

Multiply -10000 * 0.10
y = [2600 + -2400 + 0.8y + -1000] + 2000 + -10000(0.10)

Reorder the terms:
y = [2600 + -2400 + -1000 + 0.8y] + 2000 + -10000(0.10)

Combine like terms: 2600 + -2400 = 200
y = [200 + -1000 + 0.8y] + 2000 + -10000(0.10)

Combine like terms: 200 + -1000 = -800
y = [-800 + 0.8y] + 2000 + -10000(0.10)

Remove brackets around [-800 + 0.8y]
y = -800 + 0.8y + 2000 + -10000(0.10)

Multiply -10000 * 0.10
y = -800 + 0.8y + 2000 + -1000

Reorder the terms:
y = -800 + 2000 + -1000 + 0.8y

Combine like terms: -800 + 2000 = 1200
y = 1200 + -1000 + 0.8y

Combine like terms: 1200 + -1000 = 200
y = 200 + 0.8y

Solving
y = 200 + 0.8y

Solving for variable 'y'.

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

Add '-0.8y' to each side of the equation.
y + -0.8y = 200 + 0.8y + -0.8y

Combine like terms: y + -0.8y = 0.2y
0.2y = 200 + 0.8y + -0.8y

Combine like terms: 0.8y + -0.8y = 0.0
0.2y = 200 + 0.0
0.2y = 200

Divide each side by '0.2'.
y = 1000

Simplifying
y = 1000

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