Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 02, 2024

Solve for $y$ in the equation $4=\frac{y+2}{3}$ .

STEP 1

Assumptions
1. We are given the equation $4 = \frac{y+2}{3}$ .
2. We need to solve for the variable $y$ .

STEP 2

To isolate $y$ , we first need to eliminate the denominator. We can do this by multiplying both sides of the equation by the denominator, which is 3.
$3 \times 4 = 3 \times \frac{y+2}{3}$

STEP 3

On the right side of the equation, the 3 in the numerator and the denominator will cancel each other out, leaving us with $y+2$ . On the left side, we multiply 3 by 4.
$12 = y + 2$

STEP 4

Now, we need to isolate $y$ by getting rid of the constant term on the right side. We can do this by subtracting 2 from both sides of the equation.
$12 - 2 = y + 2 - 2$

STEP 5

Perform the subtraction on both sides to find the value of $y$ .
$10 = y$
So, the value of $y$ is 10.

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