Question

"Solve for y.
5y+1-2(-8y-3)=3(y-3)

Answer 1

To solve for y in the given equation, distribute the negative into the parenthesis, combine like terms, and then isolate y by performing basic algebraic operations. The final solution is y = -8/9.

Step-by-step explanation:

To solve for y in the equation 5y+1-2(-8y-3)=3(y-3), follow these steps:

1. Distribute the -2 into the parenthesis: 5y + 1 -2(-8y) - 2(-3) = 3y - 9.
2. Simplify the equation: 5y + 1 + 16y + 6 = 3y - 9.
3. Combine like terms on both sides: 21y + 7 = 3y - 9.
4. Subtract 3y from both sides: 18y + 7 = -9.
5. Subtract 7 from both sides: 18y = -16.
6. Divide both sides by 18 to solve for y: y = -16/18 or y = -8/9.