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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 first distribute -3 to both terms inside the parentheses:
-3 * -4y = 12y
-3 * 3 = -9
So the expression becomes:
12y - 9 + 7y
Next, we can combine like terms by adding the coefficients of the y terms:
12y + 7y = 19y
So the expression simplifies to:
19y - 9
To combine like terms and simplify the expression −3(−4y+3)+7y, follow these steps:
Step 1: Distribute the -3 to the terms inside the parentheses:
−3 × −4y = 12y
−3 × 3 = -9
Step 2: Rewrite the expression with the distributed terms:
12y - 9 + 7y
Step 3: Combine like terms, which are the terms with the same variable:
(12y + 7y) - 9
Step 4: Add the coefficients of the like terms:
19y - 9
Therefore, a simpler form of the expression −3(−4y+3)+7y is 19y - 9.