Question

combine like terms.
y + 6 - 2 - 4y³ - 5y + 2y³ - 2y³

Explanation:

Step1: Group like terms

Group the terms with \( y^3 \), the terms with \( y \), and the constant terms:
\((-4y^3 + 2y^3 - 2y^3) + (y - 5y) + (6 - 2)\)

Step2: Combine \( y^3 \) terms

Calculate the sum of the \( y^3 \) terms:
\(-4y^3 + 2y^3 - 2y^3 = (-4 + 2 - 2)y^3 = -4y^3\)

Step3: Combine \( y \) terms

Calculate the sum of the \( y \) terms:
\(y - 5y = (1 - 5)y = -4y\)

Step4: Combine constant terms

Calculate the sum of the constant terms:
\(6 - 2 = 4\)

Step5: Combine all results

Put the combined terms together:
\(-4y^3 - 4y + 4\)

Answer:

\(-4y^3 - 4y + 4\)