Question

Solve for y: 3(4y-1)-2(5y+1/2)

Answer 1

y = 2

Explanation:

To solve the given equation for y, begin by distributing the constants (3 and -2) to the terms inside the parentheses:

`\begin{aligned}3(4y-1)&=2\left(5y+(1)/(2)\right)\\\\3\cdot 4y+3\cdot (-1)&=2\cdot 5y+2\cdot (1)/(2)\\\\12y-3&=10y+1\end{aligned}`

Subtract 10y from both sides of the equation:

`\begin{aligned}12y-3-10y&=10y+1-10y\\\\2y-3&=1\end{aligned}`

Add 3 to both sides of the equation:

`\begin{aligned}2y-3+3&=1+3\\\\2y&=4\end{aligned}`

Finally, divide both sides of the equation by 2:

`\begin{aligned}(2y)/(2)&=(4)/(2)\\\\y&=2\end{aligned}`

Therefore, the value of y is 2.