Tuesday (Combine like terms, Unit 3.4) Simplify the expressions by combining like terms. 3(2x-2)+5x 2.) (-2x+8+4y)-(-x-4y) 3.) -5(m-3y+.5m)+2-(2x+4m)

1. To simplify the expression $3(2x-2)+5x$, we first distribute the 3 to both terms inside the parentheses, which gives us $6x - 6$. We then add $5x$ to this result, which gives us $11x - 6$.<br />2. To simplify the expression $(-2x+8+4y)-(-x-4y)$, we first distribute the negative sign to both terms inside the second set of parentheses, which gives us $-2x + 8 + 4y + x + 4y$. We then combine like terms, which gives us $-x + 8 + 8y$.<br />3. To simplify the expression $-5(m-3y+.5m)+2-(2x+4m)$, we first distribute the -5 to both terms inside the parentheses, which gives us $-5m + 15y - 2.5m$. We then subtract $(2x + 4m)$ from this result, which gives us $-5m + 15y - 2.5m - 2x - 4m$.