3(y-2)=1-3y*5

Solution for 3(y-2)=1-3y*5 equation:

Simplifying
3(y + -2) = 1 + -3y * 5

Reorder the terms:
3(-2 + y) = 1 + -3y * 5
(-2 * 3 + y * 3) = 1 + -3y * 5
(-6 + 3y) = 1 + -3y * 5

Reorder the terms for easier multiplication:
-6 + 3y = 1 + -3 * 5y

Multiply -3 * 5
-6 + 3y = 1 + -15y

Solving
-6 + 3y = 1 + -15y

Solving for variable 'y'.

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

Add '15y' to each side of the equation.
-6 + 3y + 15y = 1 + -15y + 15y

Combine like terms: 3y + 15y = 18y
-6 + 18y = 1 + -15y + 15y

Combine like terms: -15y + 15y = 0
-6 + 18y = 1 + 0
-6 + 18y = 1

Add '6' to each side of the equation.
-6 + 6 + 18y = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 18y = 1 + 6
18y = 1 + 6

Combine like terms: 1 + 6 = 7
18y = 7

Divide each side by '18'.
y = 0.3888888889

Simplifying
y = 0.3888888889