3(1+Y)=3-(5y+2)

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

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

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

Combine like terms: 3 + -2 = 1
3 + 3Y = 1 + -5y

Solving
3 + 3Y = 1 + -5y

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 + 3Y = 1 + -3 + -5y

Combine like terms: 3 + -3 = 0
0 + 3Y = 1 + -3 + -5y
3Y = 1 + -3 + -5y

Combine like terms: 1 + -3 = -2
3Y = -2 + -5y

Divide each side by '3'.
Y = -0.6666666667 + -1.666666667y

Simplifying
Y = -0.6666666667 + -1.666666667y