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Задача Задача №1861821
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Аноним
15 октября 2024 10:23 · публичный вопрос
А
Аноним

-5(1-0,5y)-1,1=0,2(2y+1)

Ответ нейросети
15 октября 2024 10:23

Let's solve the equation step by step:

Given the equation:

\[-5(1 - 0.5y) - 1.1 = 0.2(2y + 1)\]

  1. Distribute on both sides:

    Left side: \[-5(1 - 0.5y) = -5 + 2.5y\] Thus, the left side becomes: \[-5 + 2.5y - 1.1 = 2.5y - 6.1\]

    Right side: \[0.2(2y + 1) = 0.4y + 0.2\]

  2. Rewrite the equation:

    So now the equation is: \[2.5y - 6.1 = 0.4y + 0.2\]

  3. Get all terms involving \(y\) on one side and constant terms on the other side:

    \[2.5y - 0.4y = 0.2 + 6.1\]

    This simplifies to: \[2.1y = 6.3\]

  4. Solve for \(y\):

    Now, divide both sides by 2.1: \[y = \frac{6.3}{2.1} = 3\]

So, the solution to the equation is:

\[ \boxed{3} \]