Question

Can you help me solve for y ?? Please show your work !! Thank you.

Answer 1

Answer:

  y = -3x -4

Step-by-step explanation:

Any "solve for" problem involves inverse operations. You want to "undo" what has been done to the variable of interest. Generally, we're undoing multiplication or addition.

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It can help to simplify the equation first:

  x -(y +2) = 2(2x +1)

 x -y -2 = 4x +2 . . . . eliminate parentheses using the distributive property

To get y by itself, we can undo the addition of (x -2) by subtracting that from both sides.

  -y = (4x +2) -(x -2)

  -y = 3x +4

To "undo" the multiplication of y by -1, we can multiply by the reciprocal of that, which is -1.

  (-y)(-1) = (-1)(3x +4)

  y = -3x -4

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Additional comment

Here, we simplified the equation first. That's not always necessary or desirable. The first step is to look at what you have and make a plan. Here, y is in parentheses, so part of the plan will be to eliminate those parentheses.

Answer 2

Answer:

y = -3x - 4

Step-by-step explanation:

x - y - 2 = 4x + 2

x - y - 2 + y = 4x + 2 + y

x - 2 = 4x + 2 + y

x - 2 - 4x - 2 = 4x + 2 + y - 4x - 2

-3x - 4 = y

so y = -3x - 4