Provide a step-by-step solution for the equation:
\[ 3y + 5.2 = 2 - 5y \]
1. Add \(5y\) to both sides of the equation to eliminate \(-5y\) on the right:
\[ 3y + 5y + 5.2 = 2 \]
2. Simplify the equation:
\[ 8y + 5.2 = 2 \]
3. Subtract \(5.2\) from both sides to isolate the term with \(y\):
\[ 8y = 2 - 5.2 \]
4. Calculate the right-hand side:
\[ 8y = -3.2 \]
5. Divide both sides by 8 to solve for \(y\):
\[ y = \frac{-3.2}{8} \]
6. Simplify the result:
\[ y = -0.4 \]
Therefore, the solution is \( y = -0.4 \).
Answer (3)
3 y + 5.2 = 2 − 5 y ∣ a dd 5 y 8 y + 5.2 = 2 ∣ s u b t r a c t 5.2 8 y = − 3.2 ∣ d i v i d e b y 8 y = − 0 , 4 S o l u t i o n i s y = − 0.4.
3y + 5.2 = 2 - 5y 3y + 5y + 5.2 = 2 8y = 2 - 5.2 8y = -3.2 y = (-3.2) / 8 y = -0.4
The step-by-step solution of the equation 3 y + 5.2 = 2 − 5 y results in y = − 0.4 . By rearranging the equation and isolating y , we find this value. This process involves addition, subtraction, and division.
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