6y + 4 = |4y+12| what are the steps for solve that?

answer:

y = 8

step-by-step explanation:

let's solve your equation step-by-step.

−6y+4=|4y+12|

step 1: flip the equation.

|4y+12|=−6y+4

step 2: solve absolute value.

|4y+12|=−6y+4

we know either4y+12=−6y+4or4y+12=−(−6y+4)

4y+12=−6y+4(possibility 1)

4y+12+6y=−6y+4+6y(add 6y to both sides)

10y+12=4

10y+12−12=4−12(subtract 12 from both sides)

10y=−8

10y

10

=

−8

10

(divide both sides by 10)

y=

−4

5

4y+12=−(−6y+4)(possibility 2)

4y+12=6y−4(simplify both sides of the equation)

4y+12−6y=6y−4−6y(subtract 6y from both sides)

−2y+12=−4

−2y+12−12=−4−12(subtract 12 from both sides)

−2y=−16

−2y

−2

=

−16

−2

(divide both sides by -2)

y=8