Question

Solve for y4(2Y - 2) = 7(y + 5)

Answer 1

y = 43

Step-by-step explanation:

To solve for y, we will apply the distributive property as:

`\begin{gathered} 4(2y-2)=7(y+5) \\ (4\cdot2y)-(4\cdot2)=(7\cdot y)+(7\cdot5) \\ 8y-8=7y+35 \end{gathered}`

So, subtracting 7y from both sides:

`\begin{gathered} 8y-8-7y=7y+35-7y \\ y-8=35 \end{gathered}`

Adding 8 to both sides:

`\begin{gathered} y-8+8=35+8 \\ y=43 \end{gathered}`

Therefore, the answer is y = 43