To simplify the expression you've provided, we'll combine like terms. Here’s the expression:
\[ y^3 - 2y^3 + 3y^3 - 2x^3 + 5x + 3x - 7x^3 \]
Now, let's group the like terms together:
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For the \( y^3 \) terms: \[ y^3 - 2y^3 + 3y^3 = (1 - 2 + 3)y^3 = 2y^3 \]
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For the \( x^3 \) terms: \[ -2x^3 - 7x^3 = (-2 - 7)x^3 = -9x^3 \]
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For the \( x \) terms: \[ 5x + 3x = (5 + 3)x = 8x \]
Now, we can combine all these results:
\[ 2y^3 - 9x^3 + 8x \]
So, the simplified expression is:
\[ 2y^3 - 9x^3 + 8x \]