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

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

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

Reorder the terms:
-4(-10 + 5y) + 2(4y + 10) = 0
(-10 * -4 + 5y * -4) + 2(4y + 10) = 0
(40 + -20y) + 2(4y + 10) = 0

Reorder the terms:
40 + -20y + 2(10 + 4y) = 0
40 + -20y + (10 * 2 + 4y * 2) = 0
40 + -20y + (20 + 8y) = 0

Reorder the terms:
40 + 20 + -20y + 8y = 0

Combine like terms: 40 + 20 = 60
60 + -20y + 8y = 0

Combine like terms: -20y + 8y = -12y
60 + -12y = 0

Solving
60 + -12y = 0

Solving for variable 'y'.

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

Add '-60' to each side of the equation.
60 + -60 + -12y = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -12y = 0 + -60
-12y = 0 + -60

Combine like terms: 0 + -60 = -60
-12y = -60

Divide each side by '-12'.
y = 5

Simplifying
y = 5