y=1000-10r+.8y-.8(200-.2y)+3000-40r+3000+600-.14y

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Solution for y=1000-10r+.8y-.8(200-.2y)+3000-40r+3000+600-.14y equation: 


Simplifying
y = 1000 + -10r + 0.8y + -0.8(200 + -0.2y) + 3000 + -40r + 3000 + 600 + -0.14y
y = 1000 + -10r + 0.8y + (200 * -0.8 + -0.2y * -0.8) + 3000 + -40r + 3000 + 600 + -0.14y
y = 1000 + -10r + 0.8y + (-160 + 0.16y) + 3000 + -40r + 3000 + 600 + -0.14y

Reorder the terms:
y = 1000 + -160 + 3000 + 3000 + 600 + -10r + -40r + 0.8y + 0.16y + -0.14y

Combine like terms: 1000 + -160 = 840
y = 840 + 3000 + 3000 + 600 + -10r + -40r + 0.8y + 0.16y + -0.14y

Combine like terms: 840 + 3000 = 3840
y = 3840 + 3000 + 600 + -10r + -40r + 0.8y + 0.16y + -0.14y

Combine like terms: 3840 + 3000 = 6840
y = 6840 + 600 + -10r + -40r + 0.8y + 0.16y + -0.14y

Combine like terms: 6840 + 600 = 7440
y = 7440 + -10r + -40r + 0.8y + 0.16y + -0.14y

Combine like terms: -10r + -40r = -50r
y = 7440 + -50r + 0.8y + 0.16y + -0.14y

Combine like terms: 0.8y + 0.16y = 0.96y
y = 7440 + -50r + 0.96y + -0.14y

Combine like terms: 0.96y + -0.14y = 0.82y
y = 7440 + -50r + 0.82y

Solving
y = 7440 + -50r + 0.82y

Solving for variable 'y'.

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

Add '-0.82y' to each side of the equation.
y + -0.82y = 7440 + -50r + 0.82y + -0.82y

Combine like terms: y + -0.82y = 0.18y
0.18y = 7440 + -50r + 0.82y + -0.82y

Combine like terms: 0.82y + -0.82y = 0.00
0.18y = 7440 + -50r + 0.00
0.18y = 7440 + -50r

Divide each side by '0.18'.
y = 41333.33333 + -277.7777778r

Simplifying
y = 41333.33333 + -277.7777778r

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