To solve for y in the equation 1 + 2 + (3/10)y = (8/15)y + 0.78, we need to first combine like terms.
1 + 2 = 3
Therefore, the equation becomes:
3 + (3/10)y = (8/15)y + 0.78
Next, we need to get rid of the fractions by multiplying every term by the least common multiple of the denominators, which is 30:
30(3) + 30(3/10)y = 30(8/15)y + 30(0.78)
Expanding and simplifying:
90 + 9y = 16y + 23.4
Now, we want to isolate the variable y. Let's start by moving all terms with y to one side of the equation:
9y - 16y = 23.4 - 90
-7y = -66.6
Dividing by -7 to solve for y:
y = 9.5142857
Therefore, the solution to the equation is y ≈ 9.514.
To solve for y in the equation 1 + 2 + (3/10)y = (8/15)y + 0.78, we need to first combine like terms.
1 + 2 = 3
Therefore, the equation becomes:
3 + (3/10)y = (8/15)y + 0.78
Next, we need to get rid of the fractions by multiplying every term by the least common multiple of the denominators, which is 30:
30(3) + 30(3/10)y = 30(8/15)y + 30(0.78)
Expanding and simplifying:
90 + 9y = 16y + 23.4
Now, we want to isolate the variable y. Let's start by moving all terms with y to one side of the equation:
9y - 16y = 23.4 - 90
-7y = -66.6
Dividing by -7 to solve for y:
y = 9.5142857
Therefore, the solution to the equation is y ≈ 9.514.