simplify expression
6(3m-7)-2(12y-5)+4(y+6)
6(3m-7)-2(12y-5)+4(y+6)
18m - 42 - 24y + 10 + 4y + 24
18m - 20y - 8
Just use the distributive property to get rid of the parentheses:
6(3m-7)-2(12y-5)+4(y+6)
6(3m)-6(7)-2(12y)-2(-5)+4(y)+4(6)
18m-42-24y+10+4y+24
Now you can use the commutative property to rearrange things:
18m-24y+4y-42+10+24
18m+y(-24+4)-8
18m-20y-8
If that m was really supposed to be a y, then you can fix it, I assume.
To simplify the expression 6(3m-7) - 2(12y-5) + 4(y+6), we need to apply the distributive property and combine like terms.
Let's simplify each term step by step:
1. Start with the first term: 6(3m-7).
Apply the distributive property by multiplying 6 with both terms inside the parentheses:
6 * 3m = 18m
6 * (-7) = -42
Therefore, this term becomes 18m - 42.
2. Move on to the second term: -2(12y-5).
Apply the distributive property by multiplying -2 with both terms inside the parentheses:
-2 * 12y = -24y
-2 * (-5) = 10
Therefore, this term becomes -24y + 10.
3. Next, look at the third term: 4(y+6).
Apply the distributive property by multiplying 4 with both terms inside the parentheses:
4 * y = 4y
4 * 6 = 24
Therefore, this term becomes 4y + 24.
Now, combine all the terms together:
(18m - 42) - (24y + 10) + (4y + 24)
To remove the parentheses indicating subtraction, change the signs inside the second parentheses:
18m - 42 - 24y - 10 + 4y + 24
Combine like terms:
(18m - 24y + 4y) + (-42 - 10 + 24)
18m - 20y + (-28)
Finally, combine the constant terms:
18m - 20y - 28
Therefore, the simplified expression is 18m - 20y - 28.