Answer
1a. $m=6$
1b. $y=3$
Work Step by Step
1a. $11m-8-6m=22$
Group like terms: $11m-6-8=22$
Add similar elements: $5m-8=22$
Add 8 to both sides: $5m-8+8=22+8$
Simplify: $5m=30$
Divide both sides by 5: $\frac{5m}{5}=\frac{30}{5}$
Simplify: $m=6$
1b. $-2y+5+5y=14$
Group like terms: $-2y+5y+5=14$
Add similar elements: $3y+5=14$
Subtract 5 from both sides: $3y+5-5=14-5$
Simplify: $3y=9$
Divide both sides by 3: $\frac{3y}{3}=\frac{9}{3}$
Simplify: $y=3$