Question

topic: solving multi-step equations
progress:
the movement of the progress bar may be uneven because questions can be worth m
solve for y: 3y + 5 - 8y = 2y - 7 - 4y
○ y = 2/3
○ y = -4
○ y = 4
○ y = 12/7

Explanation:

Step1: Combine like terms on both sides

Left side: \(3y - 8y + 5=-5y + 5\)
Right side: \(2y-4y - 7=-2y - 7\)
So the equation becomes \(-5y + 5=-2y - 7\)

Step2: Add \(5y\) to both sides

\(-5y+5y + 5=-2y+5y - 7\)
\(5 = 3y-7\)

Step3: Add 7 to both sides

\(5 + 7=3y-7 + 7\)
\(12 = 3y\)

Step4: Divide both sides by 3

\(\frac{12}{3}=\frac{3y}{3}\)
\(y = 4\)

Answer:

\(y = 4\) (corresponding to the option "y = 4")