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3 October, 08:28

What is the solution?

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

+1
Answers (1)
  1. 3 October, 10:25
    0
    -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
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