3(6y+12)-(10y+-6)=0

Solution for 3(6y+12)-(10y+-6)=0 equation:

Simplifying
3(6y + 12) + -1(10y + -6) = 0

Reorder the terms:
3(12 + 6y) + -1(10y + -6) = 0
(12 * 3 + 6y * 3) + -1(10y + -6) = 0
(36 + 18y) + -1(10y + -6) = 0

Reorder the terms:
36 + 18y + -1(-6 + 10y) = 0
36 + 18y + (-6 * -1 + 10y * -1) = 0
36 + 18y + (6 + -10y) = 0

Reorder the terms:
36 + 6 + 18y + -10y = 0

Combine like terms: 36 + 6 = 42
42 + 18y + -10y = 0

Combine like terms: 18y + -10y = 8y
42 + 8y = 0

Solving
42 + 8y = 0

Solving for variable 'y'.

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

Add '-42' to each side of the equation.
42 + -42 + 8y = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 8y = 0 + -42
8y = 0 + -42

Combine like terms: 0 + -42 = -42
8y = -42

Divide each side by '8'.
y = -5.25

Simplifying
y = -5.25