6+3(6y-2)=-2(2y-5)+6y

Solution for 6+3(6y-2)=-2(2y-5)+6y equation:

Simplifying
6 + 3(6y + -2) = -2(2y + -5) + 6y

Reorder the terms:
6 + 3(-2 + 6y) = -2(2y + -5) + 6y
6 + (-2 * 3 + 6y * 3) = -2(2y + -5) + 6y
6 + (-6 + 18y) = -2(2y + -5) + 6y

Combine like terms: 6 + -6 = 0
0 + 18y = -2(2y + -5) + 6y
18y = -2(2y + -5) + 6y

Reorder the terms:
18y = -2(-5 + 2y) + 6y
18y = (-5 * -2 + 2y * -2) + 6y
18y = (10 + -4y) + 6y

Combine like terms: -4y + 6y = 2y
18y = 10 + 2y

Solving
18y = 10 + 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.
18y + -2y = 10 + 2y + -2y

Combine like terms: 18y + -2y = 16y
16y = 10 + 2y + -2y

Combine like terms: 2y + -2y = 0
16y = 10 + 0
16y = 10

Divide each side by '16'.
y = 0.625

Simplifying
y = 0.625