D(y)y=2x-7

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Solution for D(y)y=2x-7 equation: 


Simplifying
D(y) * y = 2x + -7

Multiply D * y
yD * y = 2x + -7

Multiply yD * y
y2D = 2x + -7

Reorder the terms:
y2D = -7 + 2x

Solving
y2D = -7 + 2x

Solving for variable 'y'.

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

Divide each side by 'D'.
y2 = -7D-1 + 2xD-1

Simplifying
y2 = -7D-1 + 2xD-1

Reorder the terms:
7D-1 + -2xD-1 + y2 = -7D-1 + 2xD-1 + 7D-1 + -2xD-1

Reorder the terms:
7D-1 + -2xD-1 + y2 = -7D-1 + 7D-1 + 2xD-1 + -2xD-1

Combine like terms: -7D-1 + 7D-1 = 0
7D-1 + -2xD-1 + y2 = 0 + 2xD-1 + -2xD-1
7D-1 + -2xD-1 + y2 = 2xD-1 + -2xD-1

Combine like terms: 2xD-1 + -2xD-1 = 0
7D-1 + -2xD-1 + y2 = 0

The solution to this equation could not be determined.

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