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Simplify to create an equivalent expression.

-y-3(-3y+5)
Choose 1 answer:
(A) 
-8y-15
(B) 
8y+5
(c) 
-8y-5
(D) 
8y-15

Simplify to create an equivalent expression.\newliney3(3y+5)-y-3(-3y+5)\newlineChoose 11 answer:\newline(A) 8y15-8y-15\newline(B) 8y+58y+5\newline(C) 8y5-8y-5\newline(D) 8y158y-15

Full solution

Q. Simplify to create an equivalent expression.\newliney3(3y+5)-y-3(-3y+5)\newlineChoose 11 answer:\newline(A) 8y15-8y-15\newline(B) 8y+58y+5\newline(C) 8y5-8y-5\newline(D) 8y158y-15
  1. Identify Terms and Distributive Property: Identify the terms in the expression and look for any distributive property to apply.\newlineThe expression is y3(3y+5)-y - 3(-3y + 5).\newlineWe need to distribute the 3-3 across the terms inside the parentheses.
  2. Apply Distributive Property: Apply the distributive property.\newlineDistribute 3-3 to both 3y-3y and +5+5.\newline3×3y=9y-3 \times -3y = 9y\newline3×5=15-3 \times 5 = -15\newlineSo, the expression becomes y+9y15-y + 9y - 15.
  3. Combine Like Terms: Combine like terms.\newliney-y and 9y9y are like terms.\newline1y+9y=8y-1y + 9y = 8y\newlineSo, the expression now is 8y158y - 15.
  4. Check for Further Simplifications: Check if there are any other terms that can be combined or any other simplifications that can be made.\newlineThere are no more like terms, and the expression is as simple as it can be.\newlineThe simplified expression is 8y158y - 15.

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