1) -6y + 17 = 3y - 10
Subtract 3y from both sides.
-6y - 3y + 17 = -10
Subtract 10 from both sides.
-6y - 3y = -12 - 10
Simplify.
-9y = -27
Divide both sides by -9.
y = 3
2) 3x - 32 = -7x + 28
Add 7x to both sides.
3x + 7x - 32 = 28
Add 32 to both sides.
3x + 7x = 28 + 32
Simplify.
10x = 60
Divide both sides by 10.
x = 6
3) 3.2 - 16 = 4a
Simplify.
-12.8 = 4a
Divide both sides by 4.
a = -3.2
4) 16.8 - v = 6v
Add v to both sides.
16.8 = 6v + v
Simplify.
16.8 = 7v
Divide both sides by 7.
v = 2.4
To check all answers, simply plug in the value of the variable that you found, then simplify.
~Hope I helped!~