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

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

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

Reorder the terms:
3(2 + 5y) + -1y = (y + -3)
(2 * 3 + 5y * 3) + -1y = (y + -3)
(6 + 15y) + -1y = (y + -3)

Combine like terms: 15y + -1y = 14y
6 + 14y = (y + -3)

Reorder the terms:
6 + 14y = (-3 + y)

Remove parenthesis around (-3 + y)
6 + 14y = -3 + y

Solving
6 + 14y = -3 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
6 + 14y + -1y = -3 + y + -1y

Combine like terms: 14y + -1y = 13y
6 + 13y = -3 + y + -1y

Combine like terms: y + -1y = 0
6 + 13y = -3 + 0
6 + 13y = -3

Add '-6' to each side of the equation.
6 + -6 + 13y = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 13y = -3 + -6
13y = -3 + -6

Combine like terms: -3 + -6 = -9
13y = -9

Divide each side by '13'.
y = -0.6923076923

Simplifying
y = -0.6923076923