Questions: Simplify. 5(-y-4 z)-2(-5 z-6 y)

Transcript text: Simplify. \[ 5(-y-4 z)-2(-5 z-6 y) \]

Solution

Step 1: Distribute the constants inside the parentheses

\[ 5(-y - 4z) - 2(-5z - 6y) \] \[ = 5(-y) + 5(-4z) - 2(-5z) - 2(-6y) \] \[ = -5y - 20z + 10z + 12y \]

Step 2: Combine like terms

\[ -5y + 12y - 20z + 10z \] \[ = ( -5y + 12y ) + ( -20z + 10z ) \] \[ = 7y - 10z \]

Step 3: Final simplified expression

\[ 7y - 10z \]

\(\boxed{7y - 10z}\)

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