Y+3/2Y-5=6/7
To solve the given equation, we need to isolate the variable, which in this case is 'Y'. We can start by simplifying the equation step by step.
Given equation: Y + (3/2)Y - 5 = 6/7
First, we need to combine like terms. Adding the coefficients of 'Y' gives us:
(1 + 3/2)Y - 5 = 6/7
To simplify the coefficients, we need to find a common denominator for 1 and 3/2. The common denominator is 2, so we can rewrite 1 as 2/2:
(2/2 + 3/2)Y - 5 = 6/7
Now, we can add the fractions:
(5/2)Y - 5 = 6/7
Next, we want to isolate the variable term, which is (5/2)Y. To do this, we'll move the constant term (-5) to the other side of the equation by adding 5 to both sides:
(5/2)Y = 6/7 + 5
Simplify the right side of the equation:
(5/2)Y = 6/7 + 35/7
(5/2)Y = 41/7
To solve for Y, we'll multiply both sides of the equation by the reciprocal of (5/2), which is 2/5:
(2/5)*(5/2)Y = (2/5)*(41/7)
Y = 82/35
So, the solution to the equation Y + (3/2)Y - 5 = 6/7 is Y = 82/35.