Question

COMBINING LIKE TERMS Apply the distributive property. Then simplify by combining like terms. $$ -4(y+2)-6 y $$

Short answer

The simplified form of the given expression is \(-10y - 8\).

Step-by-step solution

Distribute the Multiplication

First, distribute \(-4\) across \(y + 2\), which breaks down into \(-4 * y - 4 * 2\). This simplifies to \(-4y - 8\). Now the original equation becomes \(-4y - 8 - 6y\).

Combine Like Terms

Next, combine the like terms, which in this case are the variables \(-4y\) and \(-6y\), these simplify to \(-10y\). Thus the equation is now \(-10y - 8\).