Question

Three times a number s plus 4 times a number y is 1 more than 6 times the number s. solve for s

Answer 1

"Three times a number S" is 3s.
"Plus 4 times a number y" is + 4y
"is" =
"1 more than" is 1 +
"6 times the number S" is 6s.
The equation is:
3s+4y=1+6s
subtract 3s:
4y = 1 +3s
subtract 1:
4y - 1 = 3s
Divide everything by 3:
4y/3 - 1/3 = s

Answer 2

Three times a number s => 3s
4 times a number y => 4y
1 more than 6 times the number s => 6s + 1

The full equation would be:

3s + 4y = 6s + 1

Solve for s.
group same letter numbers and change its signs.
3s - 6s = -4y + 1
-3s = -4y + 1
solve for s. divide both sides by -3
-3s / -3 = (-4y + 1) / -3
s = (4y - 1) / 3