the solution for
19/6+4y=8y-1/6
let's get rid of fractions by multiplying by 6 , the LCD
19 + 24y = 48y - 1
20 = 24y
y = 20/24 =5/6
19 / 6 + 4 y = 8 y - 1 / 6
19 / 6 + 1 / 6 = 8y - 4 y
20 / 6 = 4 y Multiply both sides by 6
20 = 6 * 4 y
20 = 24 y
20 = 24 y Divide both sides by 24
20 / 24 = y
4 * 5 / ( 4 * 6 ) = y
5 / 6 = y
y = 5 / 6
To find the solution to the equation 19/6 + 4y = 8y - 1/6, you'll need to simplify the equation and solve for the value of y. Let's break it down step by step:
1. Begin by simplifying both sides of the equation. On the left side, since we have a fraction, we need to find a common denominator:
19/6 + 4y = 8y - 1/6
To find the common denominator, multiply 6 by 6: (19/6) x (6/6) = 114/36
Now our equation becomes:
114/36 + 4y = 8y - 1/6
2. Combine like terms on the left side of the equation:
114/36 + 4y = 8y - 1/6
Since we have y terms on both sides, let's move all y terms to the left side:
4y - 8y = -1/6 - 114/36
Simplifying this further, we have:
-4y = (-36 - 114)/36
= -150/36
3. Now divide both sides of the equation by -4 to isolate y:
(-4y)/(-4) = (-150/36)/(-4)
Simplifying this further, we have:
y = 150/144
= 25/24
Therefore, the solution to the equation 19/6 + 4y = 8y - 1/6 is y = 25/24.