Answer :
[tex]\dfrac{3y+5y}{3}=8[/tex]
Multiply 3 to both sides:
3y + 5y = 24
Combine like terms:
8y = 24
Divide 8 to both sides:
y = 3
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4c + 6 + 2c = 24
Combine like terms:
6c + 6 = 24
Subtract 6 to both sides:
6c = 18
Divide 6 to both sides:
c = 3
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2x/5 - 3/5 = 11/5
Add 3/5 to both sides:
2x/5 = 14/5
Multiply 5 to both sides:
2x = 14
Divide 2 to both sides:
x = 7
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2/5b - 1/4b = 3
Combine like terms:
3/20b = 3
Divide 3/20 to both sides or multiply by its reciprocal, 20/3:
b = 20
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15 - 6g + 8 = 19
Combine like terms:
23 - 6g = 19
Subtract 23 to both sides:
-6g = -4
Divide -6 to both sides:
g = -4/-6
Simplify:
g = 2/3
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w/4 - w/5 - 1/3 = 16/15
Change w/4 and -w/5 into fractions with like denominators:
5w/20 - 4w/20 - 1/3 = 16/15
Combine like terms:
w/20 - 1/3 = 16/15
Add 1/3 to both sides:
w/20 = 21/15
Multiply 20 to both sides:
w = 28
Multiply 3 to both sides:
3y + 5y = 24
Combine like terms:
8y = 24
Divide 8 to both sides:
y = 3
-------------------------------------------------
4c + 6 + 2c = 24
Combine like terms:
6c + 6 = 24
Subtract 6 to both sides:
6c = 18
Divide 6 to both sides:
c = 3
-------------------------------------------------
2x/5 - 3/5 = 11/5
Add 3/5 to both sides:
2x/5 = 14/5
Multiply 5 to both sides:
2x = 14
Divide 2 to both sides:
x = 7
-------------------------------------------------
2/5b - 1/4b = 3
Combine like terms:
3/20b = 3
Divide 3/20 to both sides or multiply by its reciprocal, 20/3:
b = 20
-------------------------------------------------
15 - 6g + 8 = 19
Combine like terms:
23 - 6g = 19
Subtract 23 to both sides:
-6g = -4
Divide -6 to both sides:
g = -4/-6
Simplify:
g = 2/3
-------------------------------------------------
w/4 - w/5 - 1/3 = 16/15
Change w/4 and -w/5 into fractions with like denominators:
5w/20 - 4w/20 - 1/3 = 16/15
Combine like terms:
w/20 - 1/3 = 16/15
Add 1/3 to both sides:
w/20 = 21/15
Multiply 20 to both sides:
w = 28