Subjects algebra

Solve Linear Equation 31E03A

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1. **State the problem:** Solve the equation $$6(y - 4) = -18$$ for $$y$$. 2. **Use the distributive property:** Multiply 6 by each term inside the parentheses. $$6(y - 4) = 6y - 24$$ So the equation becomes: $$6y - 24 = -18$$ 3. **Isolate the term with $$y$$:** Add 24 to both sides to move the constant term. $$6y - 24 + 24 = -18 + 24$$ $$6y = 6$$ 4. **Solve for $$y$$:** Divide both sides by 6. $$\frac{6y}{\cancel{6}} = \frac{6}{\cancel{6}}$$ $$y = 1$$ **Final answer:** $$y = 1$$