Answer and Step-by-step explanation:
We are given: 

First, we multiply both sides by -3.
2y - 1 = 15
Now we add 1 to both sides.
2y = 16
Finally, we divide by 2 to each side.
y = 8
We are given: 
2x + 30 = -4(5x -2)
First we distribute the -4 to 5x and -2.
2x + 30 = -20x + 8
Now we subtract 8 from both sides.
2x + 22 = -20x
Now we subtract 2x from both sides.
22 = -22x
Finally, we divide by -22 to both sides.
-1 = x
   <u>Statements:                             Reasons:</u>
              Given
   2y - 1 = 15                Multiplication Property of Equality
   2y = 16                       Addition like terms
   y = 8                                         Division Property of Equality
   <u>Statements:                             Reasons:</u>
 2x + 30 = -4(5x -2)    Given
   2x + 30 = -20x + 8                Distribution Property of Equality
   2x + 22 = -20x           Subtraction Property of Equality
   22 = -22x                                 Subtraction Property of Equality
   -1 = x                                         Division Property of Equality
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