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Combine like terms. What is a simpler form of the expression?
−3(−4y+3)+7y
To simplify the expression −3(−4y+3)+7y, we will first simplify the terms inside the parentheses, then distribute the -3 to those terms.
Starting with −4y+3, we can distribute the -3 to both terms inside the parentheses.
-3 * -4y = 12y
-3 * 3 = -9
This gives us 12y - 9, which we can then add to 7y.
12y - 9 + 7y
Combining like terms, we add the coefficients of the like terms:
12y + 7y = 19y
Therefore, the simplified form of the expression −3(−4y+3)+7y is 19y.
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Evaluate the expression for the given value of the variable(s).
5a + 5b; a=−6
, b=−5
Evaluate the expression for the given value of the variable(s).
5a + 5b; a = −6, b = −5
To combine like terms in the expression −3(−4y+3)+7y, we first need to distribute the −3 to both terms inside the parentheses:
−3 × −4y = 12y
−3 × 3 = −9
After distributing, the expression becomes:
12y − 9 + 7y
Now, we can combine the like terms 12y and 7y:
12y + 7y = 19y
So, the simplified form of the expression −3(−4y+3)+7y is:
19y − 9