Final answer:
To solve the given equations, use the properties of equality. Solve each equation step by step using appropriate strategies. The values of d, m, b, y, and s are -37, -44, 1/5, 1.5, and 0, respectively.
Step-by-step explanation:
To solve the given equations, we will use the properties of equality. Let's solve each equation step by step:
1) For the equation -1/8d - 4 = -3/8:
Add 4 to both sides: -1/8d = -3/8 + 4 = 37/8
Multiply both sides by -8: d = (37/8)(-8) = -37/1 = -37
2) For the equation -1/4m + 5 = 16:
Subtract 5 from both sides: -1/4m = 16 - 5 = 11
Multiply both sides by -4: m = (11)(-4) = -44
3) For the equation 10b + (-45) = -43:
Add 45 to both sides: 10b = -43 + 45 = 2
Divide both sides by 10: b = 2/10 = 1/5
4) For the equation -8(y - 1.25) = 4:
Divide both sides by -8: y - 1.25 = 4/-8 = -1/2
Add 1.25 to both sides: y = -1/2 + 1.25 = 3/2 = 1.5
5) For the equation 3.2(s + 10) = 32:
Divide both sides by 3.2: s + 10 = 32/3.2 = 10
Subtract 10 from both sides: s = 10 - 10 = 0
Therefore, the values of d, m, b, y, and s are:
d = -37, m = -44, b = 1/5, y = 1.5, s = 0.