Question

2(y-4)+5=3(y+2) for y​

Answer 1

y = -9

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

Answer 2

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