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Solve for y: x + y - 22 = -16, given x = 7

Mathematics

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Answer

-1

Step-by-step solution

3 steps

  1. Substitute x=7x = 7 into the equation x+y−22=−16x + y - 22 = -16.

    7+y−22=−167 + y - 22 = -16

  2. Combine the constant terms on the left side of the equation.

    y+(7−22)=−16y + (7 - 22) = -16 y−15=−16y - 15 = -16

  3. Add 15 to both sides of the equation to solve for yy.

    y−15+15=−16+15y - 15 + 15 = -16 + 15 y=−1y = \boxed{-1}
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