Question

-4y + 12 = -7y + 24 I’ll give Brain whoever solves PLEASE DO IT STEP BY STEP

Answer 1

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:

$\frac{3y}{3} = \frac{12}{3}$

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.

Answer 2

Answer:

y - 4

Step-by-step explanation:

subtract 12 from both sides of the equation

4y+12-12= -7y +24 - 12

-4y = -7y +24 - 12

subtract

-4y +-7y + 12

add 7y to both sides of the equation

-4y + 7y = -7y +12 + 7y

simplify

3y + -7y  +12 + 7y

combine like terms.

3y = 12

divide

3y/3

=12/3

simplify      

y=12 3

y = 4