Question

Please help find what y's value is
6(10-(y/2)-5y=12

Answer 1

The value of y in the equation 6(10-(y/2)-5y) = 12 is found by distributing the 6, combining like terms, and isolating y to find y = 1.4545... .

Step-by-step explanation:

The student is asking to find the value of y in the algebraic equation 6(10-(y/2)-5y) = 12. First, we need to distribute the 6 across the terms within the parentheses, and then solve for y.

1. Multiply each term inside the parentheses by 6: 6*10 - 6*(y/2) - 6*5y = 12.
2. Solve the multiplication: 60 - 3y - 30y = 12.
3. Combine like terms: 60 - 33y = 12.
4. Subtract 60 from both sides: -33y = -48.
5. Divide both sides by -33 to isolate y: y = 48/33.
6. Simplify the fraction: y = 1.4545... (which can be rounded as required).