y=2x+sin(y-2x)

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Solution for y=2x+sin(y-2x) equation:


Simplifying
y = 2x + sin(y + -2x)

Reorder the terms:
y = 2x + ins(-2x + y)
y = 2x + (-2x * ins + y * ins)
y = 2x + (-2insx + insy)

Reorder the terms:
y = -2insx + insy + 2x

Solving
y = -2insx + insy + 2x

Solving for variable 'y'.

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

Add '-1insy' to each side of the equation.
-1insy + y = -2insx + insy + -1insy + 2x

Combine like terms: insy + -1insy = 0
-1insy + y = -2insx + 0 + 2x
-1insy + y = -2insx + 2x

Reorder the terms:
2insx + -1insy + -2x + y = -2insx + 2x + 2insx + -2x

Reorder the terms:
2insx + -1insy + -2x + y = -2insx + 2insx + 2x + -2x

Combine like terms: -2insx + 2insx = 0
2insx + -1insy + -2x + y = 0 + 2x + -2x
2insx + -1insy + -2x + y = 2x + -2x

Combine like terms: 2x + -2x = 0
2insx + -1insy + -2x + y = 0

The solution to this equation could not be determined.

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