x= 5/9(y-32) solve for y and simplify

To solve for y, we will rearrange the equation step by step:

1. Start with the given equation: x = (5/9)(y - 32).
2. Multiply both sides of the equation by 9/5 to get rid of the fraction: (9/5)x = y - 32.
3. Distribute (9/5) to both terms inside the parentheses: (9/5)x = (9/5)(y) - (9/5)(32).
4. Simplify the right side of the equation: (9/5)x = (9/5)y - 288/5.
5. Now, we need to isolate the y term on one side. Start by subtracting (9/5)y from both sides of the equation: (9/5)x - (9/5)y = -288/5.
6. Combine like terms on the left side of the equation: [(9x - 9y)/5] = -288/5.
7. Multiply both sides of the equation by 5 to eliminate the fraction: 9x - 9y = -288.
8. Finally, let's solve for y by isolating the term containing y. Start by subtracting 9x from both sides of the equation: -9y = -9x - 288.
9. Divide both sides of the equation by -9 to solve for y: y = (-9x - 288)/-9.
10. Simplify the equation: y = x + 32.

Therefore, the solution to the equation x = (5/9)(y - 32), solved for y and simplified, is y = x + 32.