3(y-1)+5y=1

Solution for 3(y-1)+5y=1 equation:

Simplifying
3(y + -1) + 5y = 1

Reorder the terms:
3(-1 + y) + 5y = 1
(-1 * 3 + y * 3) + 5y = 1
(-3 + 3y) + 5y = 1

Combine like terms: 3y + 5y = 8y
-3 + 8y = 1

Solving
-3 + 8y = 1

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + 8y = 1 + 3

Combine like terms: -3 + 3 = 0
0 + 8y = 1 + 3
8y = 1 + 3

Combine like terms: 1 + 3 = 4
8y = 4

Divide each side by '8'.
y = 0.5

Simplifying
y = 0.5