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

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

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

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

Combine like terms: 15y + -1y = 14y
6 + 14y = 2(y + -3) * 3

Reorder the terms:
6 + 14y = 2(-3 + y) * 3

Reorder the terms for easier multiplication:
6 + 14y = 2 * 3(-3 + y)

Multiply 2 * 3
6 + 14y = 6(-3 + y)
6 + 14y = (-3 * 6 + y * 6)
6 + 14y = (-18 + 6y)

Solving
6 + 14y = -18 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
6 + 14y + -6y = -18 + 6y + -6y

Combine like terms: 14y + -6y = 8y
6 + 8y = -18 + 6y + -6y

Combine like terms: 6y + -6y = 0
6 + 8y = -18 + 0
6 + 8y = -18

Add '-6' to each side of the equation.
6 + -6 + 8y = -18 + -6

Combine like terms: 6 + -6 = 0
0 + 8y = -18 + -6
8y = -18 + -6

Combine like terms: -18 + -6 = -24
8y = -24

Divide each side by '8'.
y = -3

Simplifying
y = -3