10-5(7у-6:2)=3

To solve the equation, we need to apply the order of operations (PEMDAS/BODMAS) which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Given equation: \( 10 - 5(7y - \frac{6}{2}) = 3 \)

Let's simplify step by step:

1. \( 10 - 5(7y - 3) = 3 \) (since \( \frac{6}{2} = 3 \))

2. \( 10 - 35y + 15 = 3 \) (Distribute the -5)

3. \( 25 - 35y = 3 \) (Combine like terms)

4. \( -35y = -22 \) (Subtract 25 from both sides)

5. \( y = \frac{-22}{-35} = \frac{22}{35} \) (Divide by -35 on both sides)

Therefore, the solution to the equation is \( y = \frac{22}{35} \).