3(1-5y)-10y=78

Solution for 3(1-5y)-10y=78 equation:

Simplifying
3(1 + -5y) + -10y = 78
(1 * 3 + -5y * 3) + -10y = 78
(3 + -15y) + -10y = 78

Combine like terms: -15y + -10y = -25y
3 + -25y = 78

Solving
3 + -25y = 78

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 + -25y = 78 + -3

Combine like terms: 3 + -3 = 0
0 + -25y = 78 + -3
-25y = 78 + -3

Combine like terms: 78 + -3 = 75
-25y = 75

Divide each side by '-25'.
y = -3

Simplifying
y = -3