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

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

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

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

Combine like terms: -15y + -1y = -16y
-6 + -16y = 2(y + -3)

Reorder the terms:
-6 + -16y = 2(-3 + y)
-6 + -16y = (-3 * 2 + y * 2)
-6 + -16y = (-6 + 2y)

Add '6' to each side of the equation.
-6 + 6 + -16y = -6 + 6 + 2y

Combine like terms: -6 + 6 = 0
0 + -16y = -6 + 6 + 2y
-16y = -6 + 6 + 2y

Combine like terms: -6 + 6 = 0
-16y = 0 + 2y
-16y = 2y

Solving
-16y = 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-16y + -2y = 2y + -2y

Combine like terms: -16y + -2y = -18y
-18y = 2y + -2y

Combine like terms: 2y + -2y = 0
-18y = 0

Divide each side by '-18'.
y = 0

Simplifying
y = 0