-3(5y-10)+2(4y+6)=

Solution for -3(5y-10)+2(4y+6)= equation:

Simplifying
-3(5y + -10) + 2(4y + 6) = 0

Reorder the terms:
-3(-10 + 5y) + 2(4y + 6) = 0
(-10 * -3 + 5y * -3) + 2(4y + 6) = 0
(30 + -15y) + 2(4y + 6) = 0

Reorder the terms:
30 + -15y + 2(6 + 4y) = 0
30 + -15y + (6 * 2 + 4y * 2) = 0
30 + -15y + (12 + 8y) = 0

Reorder the terms:
30 + 12 + -15y + 8y = 0

Combine like terms: 30 + 12 = 42
42 + -15y + 8y = 0

Combine like terms: -15y + 8y = -7y
42 + -7y = 0

Solving
42 + -7y = 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 + -7y = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -7y = 0 + -42
-7y = 0 + -42

Combine like terms: 0 + -42 = -42
-7y = -42

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

Simplifying
y = 6