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

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

Simplifying
-2(y + -5) = 3(-2y + 10)

Reorder the terms:
-2(-5 + y) = 3(-2y + 10)
(-5 * -2 + y * -2) = 3(-2y + 10)
(10 + -2y) = 3(-2y + 10)

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

Solving
10 + -2y = 30 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
10 + -2y + 6y = 30 + -6y + 6y

Combine like terms: -2y + 6y = 4y
10 + 4y = 30 + -6y + 6y

Combine like terms: -6y + 6y = 0
10 + 4y = 30 + 0
10 + 4y = 30

Add '-10' to each side of the equation.
10 + -10 + 4y = 30 + -10

Combine like terms: 10 + -10 = 0
0 + 4y = 30 + -10
4y = 30 + -10

Combine like terms: 30 + -10 = 20
4y = 20

Divide each side by '4'.
y = 5

Simplifying
y = 5