2 (y-4) + 5=3 (y+2) for y

y = - 9

Step-by-step explanation:

Expand:

2y - 8 + 5 = 3y + 6

Simplify 2y-8+5 to 2y-3:

2y - 3 = 3y + 6

Subtract 2y from both sides:

-3 = 3y + 6 - 2y

Simplify 3y + 6 - 2y to y + 6:

-3 = y + 6

Subtract 6 from both sides:

-3 - 6 = y

Simplify - 3 - 6 to - 9:

y = - 9

2 (y-4) + 5=3 (y+2)

multiply the first bracket by 2

(2) (y) = 2y

(2) (-4) = -8

multiply the second bracket by 3

(3) (y) = 3y

(3) (2) = 6

2y-8+5=3y+6

2y-3=3y+6

move 3y to the other side

sign changes from + 3y to - 3y

2y-3y-3=3y-3y+6

-y-3=6

move - 3 to the other side

-y-3+3=6+3

-y=9

multiply both sides by - 1 to get + y

(-1) (-y) = 9 (-1)

Answer:

y=-9