Answer:
y = 4
Step-by-step explanation:
Given the algebraic equation, -4y + 12 = -7y + 24, the goal is to solve for the value of y by isolating it to either sides of the equation.
Start by adding 7y to both sides of the equation:
-4y + 7y + 12 = -7y + 7y + 24
3y + 12 = 0 + 24
3y + 12 = 24
Next, subtract 12 from both sides:
3y + 12 - 12 = 24 - 12
3y = 12
Divide both sides by 3 to isolate and solve for y:
[tex]\frac{3y}{3} = \frac{12}{3}[/tex]
y = 4
Double-check whether the value of y will provide a true statement if plugged into the equation:
-4y + 12 = -7y + 24
-4(4) + 12 = -7(4) + 24
-16 + 12 = -28 + 24
-4 = -4 (True statement).
Therefore, the value of y = 4.
