Solve: -13-2y = 10

Answer

y = -11.5

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Step-by-Step Breakdown

  1. Expand and simplify the left-hand side: -13-2y = -2y - 13
  2. Expand and simplify the right-hand side: 10 = 10
  3. Move every term to one side so the equation reads "...= 0": -2y - 23 = 0
  4. This is a linear equation of the form ay+b=0, with a=-2 and b=-23.
  5. Solve for y: y = -b/a = -(-23)/-2 = -11.5

Theory & Definitions

A linear equation in one unknown can always be rearranged into the form ay+b=0 (a≠0), which has exactly one solution: y = -b/a.

Frequently Asked Questions

What is the solution to -13-2y = 10?

y = -11.5.

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