-18(y+3)+6(4y-5)=5(y-6)+10

Solution for -18(y+3)+6(4y-5)=5(y-6)+10 equation:

Simplifying
-18(y + 3) + 6(4y + -5) = 5(y + -6) + 10

Reorder the terms:
-18(3 + y) + 6(4y + -5) = 5(y + -6) + 10
(3 * -18 + y * -18) + 6(4y + -5) = 5(y + -6) + 10
(-54 + -18y) + 6(4y + -5) = 5(y + -6) + 10

Reorder the terms:
-54 + -18y + 6(-5 + 4y) = 5(y + -6) + 10
-54 + -18y + (-5 * 6 + 4y * 6) = 5(y + -6) + 10
-54 + -18y + (-30 + 24y) = 5(y + -6) + 10

Reorder the terms:
-54 + -30 + -18y + 24y = 5(y + -6) + 10

Combine like terms: -54 + -30 = -84
-84 + -18y + 24y = 5(y + -6) + 10

Combine like terms: -18y + 24y = 6y
-84 + 6y = 5(y + -6) + 10

Reorder the terms:
-84 + 6y = 5(-6 + y) + 10
-84 + 6y = (-6 * 5 + y * 5) + 10
-84 + 6y = (-30 + 5y) + 10

Reorder the terms:
-84 + 6y = -30 + 10 + 5y

Combine like terms: -30 + 10 = -20
-84 + 6y = -20 + 5y

Solving
-84 + 6y = -20 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-84 + 6y + -5y = -20 + 5y + -5y

Combine like terms: 6y + -5y = 1y
-84 + 1y = -20 + 5y + -5y

Combine like terms: 5y + -5y = 0
-84 + 1y = -20 + 0
-84 + 1y = -20

Add '84' to each side of the equation.
-84 + 84 + 1y = -20 + 84

Combine like terms: -84 + 84 = 0
0 + 1y = -20 + 84
1y = -20 + 84

Combine like terms: -20 + 84 = 64
1y = 64

Divide each side by '1'.
y = 64

Simplifying
y = 64