Basic Math Examples

Simplify 7b-(2b+4y)-(4b-6y)-(b+2y)
7b-(2b+4y)-(4b-6y)-(b+2y)
Step 1
Simplify each term.
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Step 1.1
Apply the distributive property.
7b-(2b)-(4y)-(4b-6y)-(b+2y)
Step 1.2
Multiply 2 by -1.
7b-2b-(4y)-(4b-6y)-(b+2y)
Step 1.3
Multiply 4 by -1.
7b-2b-4y-(4b-6y)-(b+2y)
Step 1.4
Apply the distributive property.
7b-2b-4y-(4b)-(-6y)-(b+2y)
Step 1.5
Multiply 4 by -1.
7b-2b-4y-4b-(-6y)-(b+2y)
Step 1.6
Multiply -6 by -1.
7b-2b-4y-4b+6y-(b+2y)
Step 1.7
Apply the distributive property.
7b-2b-4y-4b+6y-b-(2y)
Step 1.8
Multiply 2 by -1.
7b-2b-4y-4b+6y-b-2y
7b-2b-4y-4b+6y-b-2y
Step 2
Simplify by adding terms.
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Step 2.1
Subtract 2b from 7b.
5b-4y-4b+6y-b-2y
Step 2.2
Subtract 4b from 5b.
b-4y+6y-b-2y
Step 2.3
Combine the opposite terms in b-4y+6y-b-2y.
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Step 2.3.1
Subtract b from b.
-4y+6y+0-2y
Step 2.3.2
Add -4y+6y and 0.
-4y+6y-2y
-4y+6y-2y
Step 2.4
Add -4y and 6y.
2y-2y
Step 2.5
Subtract 2y from 2y.
0
0
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