Respuesta:
Explicación paso a paso:
To solve the equation 4(2+3y)=6, we need to follow the order of operations (PEMDAS - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Let's solve it step by step:
1. Distribute the 4 on the left side:
4 \times 2 + 4 \times 3y = 6
8 + 12y = 6
2. Combine like terms:
8 + 12y = 6
3. Subtract 8 from both sides to isolate the term with y:
12y = 6 - 8
12y = -2
4. Divide by 12 to solve for y:
y = \frac{-2}{12}
y = -\frac{1}{6}
Therefore, the solution to the equation 4(2+3y)=6 is y = -\frac{1}{6}.