6(-3+5y)+3y=3(y-6)

Solution for 6(-3+5y)+3y=3(y-6) equation:

Simplifying
6(-3 + 5y) + 3y = 3(y + -6)
(-3 * 6 + 5y * 6) + 3y = 3(y + -6)
(-18 + 30y) + 3y = 3(y + -6)

Combine like terms: 30y + 3y = 33y
-18 + 33y = 3(y + -6)

Reorder the terms:
-18 + 33y = 3(-6 + y)
-18 + 33y = (-6 * 3 + y * 3)
-18 + 33y = (-18 + 3y)

Add '18' to each side of the equation.
-18 + 18 + 33y = -18 + 18 + 3y

Combine like terms: -18 + 18 = 0
0 + 33y = -18 + 18 + 3y
33y = -18 + 18 + 3y

Combine like terms: -18 + 18 = 0
33y = 0 + 3y
33y = 3y

Solving
33y = 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
33y + -3y = 3y + -3y

Combine like terms: 33y + -3y = 30y
30y = 3y + -3y

Combine like terms: 3y + -3y = 0
30y = 0

Divide each side by '30'.
y = 0.0

Simplifying
y = 0.0