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Solve the following for the indicated variable. 𝑦-1=-13⁢(𝑥+3) for 𝑦.

Question

Solve the following for the indicated variable. 𝑦-1=-13⁢(𝑥+3) for 𝑦.

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Solution

Step 1: Start with the original equation: 𝑦-1=-13⁢(𝑥+3)

Step 2: Distribute -13 to both terms inside the parentheses: 𝑦-1=-13x-39

Step 3: Add 1 to both sides of the equation to isolate y: 𝑦=-13x-39+1

Step 4: Simplify the right side of the equation: 𝑦=-13x-38

So, the solution for y in terms of x is 𝑦=-13x-38.

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