-3(4y-10)+2(3y+6)=

Solution for -3(4y-10)+2(3y+6)= equation:

Simplifying
-3(4y + -10) + 2(3y + 6) = 0

Reorder the terms:
-3(-10 + 4y) + 2(3y + 6) = 0
(-10 * -3 + 4y * -3) + 2(3y + 6) = 0
(30 + -12y) + 2(3y + 6) = 0

Reorder the terms:
30 + -12y + 2(6 + 3y) = 0
30 + -12y + (6 * 2 + 3y * 2) = 0
30 + -12y + (12 + 6y) = 0

Reorder the terms:
30 + 12 + -12y + 6y = 0

Combine like terms: 30 + 12 = 42
42 + -12y + 6y = 0

Combine like terms: -12y + 6y = -6y
42 + -6y = 0

Solving
42 + -6y = 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 + -6y = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -6y = 0 + -42
-6y = 0 + -42

Combine like terms: 0 + -42 = -42
-6y = -42

Divide each side by '-6'.
y = 7

Simplifying
y = 7