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Solve.

2(5y+7)=44
Answer: 
y=

Solve.\newline2(5y+7)=44 2(5 y+7)=44 \newlineAnswer: y= y=

Full solution

Q. Solve.\newline2(5y+7)=44 2(5 y+7)=44 \newlineAnswer: y= y=
  1. Distribute Terms: Distribute the 22 across the terms inside the parentheses.\newlineWe need to multiply each term inside the parentheses by 22.\newline2×5y=10y2 \times 5y = 10y\newline2×7=142 \times 7 = 14\newlineSo, the equation becomes 10y+14=4410y + 14 = 44.
  2. Subtract 1414: Subtract 1414 from both sides of the equation to isolate the term with the variable yy.\newline10y+1414=441410y + 14 - 14 = 44 - 14\newlineThis simplifies to 10y=3010y = 30.
  3. Divide by 1010: Divide both sides of the equation by 1010 to solve for yy.10y10=3010\frac{10y}{10} = \frac{30}{10}This simplifies to y=3y = 3.