Answer:
y = 43
Explanation:
To solve for y, we will apply the distributive property as:
[tex]\begin{gathered} 4(2y-2)=7(y+5) \\ (4\cdot2y)-(4\cdot2)=(7\cdot y)+(7\cdot5) \\ 8y-8=7y+35 \end{gathered}[/tex]So, subtracting 7y from both sides:
[tex]\begin{gathered} 8y-8-7y=7y+35-7y \\ y-8=35 \end{gathered}[/tex]Adding 8 to both sides:
[tex]\begin{gathered} y-8+8=35+8 \\ y=43 \end{gathered}[/tex]Therefore, the answer is y = 43
