i=200+0.7*(Y-250)+155+0.1*Y-10*i+300

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Solution for i=200+0.7*(Y-250)+155+0.1*Y-10*i+300 equation:


Simplifying
i = 200 + 0.7(Y + -250) + 155 + 0.1Y + -10i + 300

Reorder the terms:
i = 200 + 0.7(-250 + Y) + 155 + 0.1Y + -10i + 300
i = 200 + (-250 * 0.7 + Y * 0.7) + 155 + 0.1Y + -10i + 300
i = 200 + (-175 + 0.7Y) + 155 + 0.1Y + -10i + 300

Reorder the terms:
i = 200 + -175 + 155 + 300 + 0.7Y + 0.1Y + -10i

Combine like terms: 200 + -175 = 25
i = 25 + 155 + 300 + 0.7Y + 0.1Y + -10i

Combine like terms: 25 + 155 = 180
i = 180 + 300 + 0.7Y + 0.1Y + -10i

Combine like terms: 180 + 300 = 480
i = 480 + 0.7Y + 0.1Y + -10i

Combine like terms: 0.7Y + 0.1Y = 0.8Y
i = 480 + 0.8Y + -10i

Solving
i = 480 + 0.8Y + -10i

Solving for variable 'i'.

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

Add '10i' to each side of the equation.
i + 10i = 480 + 0.8Y + -10i + 10i

Combine like terms: i + 10i = 11i
11i = 480 + 0.8Y + -10i + 10i

Combine like terms: -10i + 10i = 0
11i = 480 + 0.8Y + 0
11i = 480 + 0.8Y

Divide each side by '11'.
i = 43.63636364 + 0.07272727273Y

Simplifying
i = 43.63636364 + 0.07272727273Y

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