Question

how do I do the step by step  to find the solution for this problem -4y+6>22

Answer 1

Well to isolate the variable you should subtract 6 from both sides resulting in -4y > 16
Now just divide by -4, however, keep in mind that when you divide or multiply by a negative number when there is a sign, always switch the sign, so just divide by -4 and get y < 4

Answer 2

$-4y+6 > 22\ \ \ \ /-6\\\\-4y+6-6 > 22-6\\\\-4y < 16\ \ \ \ /:(-4) < 0\\\\y < 16:(-4)\\\\y < -4\\\\\\y\in(-\infty;-4)$