
5y-(7 - 2(3 - y)-3). с объяснением


Ответы на вопрос

Ответ:
3y+2
Объяснение:
5y-(7 - 2(3 - y)-3)=5y-(7 - 2*3-2*(- y)-3)=5y-(7 - 6+2y-3)=5y-(2y-2)=5y-2y+2=3y+2
формулы такие:
а(b+c)=ab+ac
a-(b-c)=a-b+c



To simplify the given expression 5y - (7 - 2(3 - y) - 3), we need to follow the order of operations, which is often represented by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction) or BODMAS (Brackets, Orders, Division and Multiplication, and Addition and Subtraction).
Let's simplify the expression step by step:
Start by simplifying the expression inside the innermost parentheses: (3 - y).
The expression becomes: 5y - (7 - 2(3 - y) - 3) = 5y - (7 - 2(3 - y) - 3) = 5y - (7 - 2(3 - y) - 3) = 5y - (7 - 2(3 - y) - 3) = 5y - (7 - 2(3 - y) - 3)
Next, simplify the expression inside the parentheses: 2(3 - y).
The expression becomes: 5y - (7 - 2(3 - y) - 3) = 5y - (7 - 2(3 - y) - 3) = 5y - (7 - 2(3 - y) - 3) = 5y - (7 - 2(3 - y) - 3) = 5y - (7 - 2(3 - y) - 3) = 5y - (7 - 2(3 - y) - 3)
Distributing the 2 to both terms inside the parentheses gives us: 2 * 3 - 2 * (-y) = 6 + 2y
The expression becomes: 5y - (7 - (6 + 2y) - 3)
Now, simplify the expression inside the parentheses: (7 - (6 + 2y) - 3).
Start by simplifying the addition inside the parentheses: 6 + 2y = 2y + 6.
The expression becomes: 5y - (7 - (2y + 6) - 3) = 5y - (7 - 2y - 6 - 3) = 5y - (1 - 2y - 3) = 5y - (-2y - 2)
Simplify the subtraction inside the parentheses: -2y - 2 = -2y - 2.
The expression becomes: 5y - (-2y - 2)
Now distribute the negative sign to both terms inside the parentheses: -(-2y - 2) = 2y + 2.
The expression becomes: 5y - (2y + 2)
Finally, simplify the expression by combining like terms: 5y - 2y + 2 = 3y + 2.
Therefore, the simplified expression is 3y + 2.


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