10e-y(0.5)+15e-y(1.0)+10e-y(1.5)+1015e-y(2.0)=986.23

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Solution for 10e-y(0.5)+15e-y(1.0)+10e-y(1.5)+1015e-y(2.0)=986.23 equation: 


Simplifying
10e + -1y(0.5) + 15e + -1y(1.0) + 10e + -1y(1.5) + 1015e + -1y(2.0) = 986.23

Reorder the terms for easier multiplication:
10e + -1 * 0.5y + 15e + -1y(1.0) + 10e + -1y(1.5) + 1015e + -1y(2.0) = 986.23

Multiply -1 * 0.5
10e + -0.5y + 15e + -1y(1.0) + 10e + -1y(1.5) + 1015e + -1y(2.0) = 986.23

Reorder the terms for easier multiplication:
10e + -0.5y + 15e + -1 * 1.0y + 10e + -1y(1.5) + 1015e + -1y(2.0) = 986.23

Multiply -1 * 1.0
10e + -0.5y + 15e + -1y + 10e + -1y(1.5) + 1015e + -1y(2.0) = 986.23

Reorder the terms for easier multiplication:
10e + -0.5y + 15e + -1y + 10e + -1 * 1.5y + 1015e + -1y(2.0) = 986.23

Multiply -1 * 1.5
10e + -0.5y + 15e + -1y + 10e + -1.5y + 1015e + -1y(2.0) = 986.23

Reorder the terms for easier multiplication:
10e + -0.5y + 15e + -1y + 10e + -1.5y + 1015e + -1 * 2.0y = 986.23

Multiply -1 * 2.0
10e + -0.5y + 15e + -1y + 10e + -1.5y + 1015e + -2y = 986.23

Reorder the terms:
10e + 15e + 10e + 1015e + -0.5y + -1y + -1.5y + -2y = 986.23

Combine like terms: 10e + 15e = 25e
25e + 10e + 1015e + -0.5y + -1y + -1.5y + -2y = 986.23

Combine like terms: 25e + 10e = 35e
35e + 1015e + -0.5y + -1y + -1.5y + -2y = 986.23

Combine like terms: 35e + 1015e = 1050e
1050e + -0.5y + -1y + -1.5y + -2y = 986.23

Combine like terms: -0.5y + -1y = -1.5y
1050e + -1.5y + -1.5y + -2y = 986.23

Combine like terms: -1.5y + -1.5y = -3y
1050e + -3y + -2y = 986.23

Combine like terms: -3y + -2y = -5y
1050e + -5y = 986.23

Solving
1050e + -5y = 986.23

Solving for variable 'e'.

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

Add '5y' to each side of the equation.
1050e + -5y + 5y = 986.23 + 5y

Combine like terms: -5y + 5y = 0
1050e + 0 = 986.23 + 5y
1050e = 986.23 + 5y

Divide each side by '1050'.
e = 0.9392666667 + 0.004761904762y

Simplifying
e = 0.9392666667 + 0.004761904762y

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