What is the solution?

45-[5+8y-3 (y+3) ] = - 3 (3y-5) - [5 (y-1) - 2y+6

-5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

45 - (5+8y-3 (y+3)) = -3 (3y-5) - (5 (y-1) - 2y+6)

45+-1 (5+8y-3 (y+3)) = -3 (3y-5) + -1 (5 (y-1) - 2y+6) (Distribute the Negative Sign)

45 + (-1) (5) + -1 (8y) + -1 (-3 (y+3)) = -3 (3y-5) + -1 (5 (y-1)) + -1 (-2y) + (-1) (6)

45+-5+-8y+3y+9=-3 (3y-5) + -5y+5+2y+-6

45+-5+-8y+3y+9 = (-3) (3y) + (-3) (-5) + -5y+5+2y+-6 (Distribute)

45+-5+-8y+3y+9=-9y+15+-5y+5+2y+-6

(-8y+3y) + (45+-5+9) = (-9y+-5y+2y) + (15+5+-6) (Combine Like Terms)

-5y+49=-12y+14

-5y+49=-12y+14

Step 2: Add 12y to both sides.

-5y+49+12y=-12y+14+12y

7y+49=14

Step 3: Subtract 49 from both sides.

7y+49-49=14-49

7y=-35

Step 4: Divide both sides by 7.

7y

7

=

-35

7

y=-5