Simplifying Expressions

Combine the first 2 terms: $5y+3y=8y$, and then subtract $2y$: $8y-2y=6y$.

To expand the brackets, use the distributive law: $5(2x+4)=5\times 2x+5\times 4=10x+20$.

To expand the brackets, use the distributive law: $5(2x-1)=5\times 2x+5\times (-1)=10x-5$.

Expand the brackets: $3(x-2)=3x-6$. Now, combine like terms: $4x+3x=7x$ and -6 stays the same. So, the simplified expression is $7x-6$.

First, expand the brackets: $2(4x+5)=8x+10$. Then, collect like terms: $8x-3x=5x$. So, the simplified expression is $5x+10$.

Expand both sets of brackets: $2(x+3)=2x+6$ and $-5(2x-1)=-10x+5$. Now combine the like terms: $2x-10x=-8x$ and $6+5=11$. So the simplified expression is $-8x+11$.