Question

4(9y-5)=10(3y+17)-40

Answer 1

4(9y - 5) = 10(3y + 17)- 40

36y - 20 = 30y + 170 - 40

36y - 20 = 30y + 130

36y = 30y + 130 + 20

36y = 30y + 150

36y - 30y = 150

6y = 150

y = 150/6

y = 25


Hope this helps

Answer 2

Step 1: Problem

4(9y - 5) = 10(3y + 17) - 40

Step 2: Concept and method

`\begin{gathered} 4(\text{ 9y - 5 ) = 10( 3y + 17 ) - 40} \\ 36y\text{ - 20 = 30y + 170 - 40} \\ \text{Collect like terms} \\ 36y\text{ - 30y = 170 - 40 + 20} \end{gathered}`
`\begin{gathered} 6y\text{ = 150} \\ y\text{ = }(150)/(6) \\ y\text{ = 25} \end{gathered}`

Step 3: Final answer

y = 25