2(y-3)+3(y-8)=0

Solution for 2(y-3)+3(y-8)=0 equation:

Simplifying
2(y + -3) + 3(y + -8) = 0

Reorder the terms:
2(-3 + y) + 3(y + -8) = 0
(-3 * 2 + y * 2) + 3(y + -8) = 0
(-6 + 2y) + 3(y + -8) = 0

Reorder the terms:
-6 + 2y + 3(-8 + y) = 0
-6 + 2y + (-8 * 3 + y * 3) = 0
-6 + 2y + (-24 + 3y) = 0

Reorder the terms:
-6 + -24 + 2y + 3y = 0

Combine like terms: -6 + -24 = -30
-30 + 2y + 3y = 0

Combine like terms: 2y + 3y = 5y
-30 + 5y = 0

Solving
-30 + 5y = 0

Solving for variable 'y'.

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

Add '30' to each side of the equation.
-30 + 30 + 5y = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 5y = 0 + 30
5y = 0 + 30

Combine like terms: 0 + 30 = 30
5y = 30

Divide each side by '5'.
y = 6

Simplifying
y = 6