(24y+6)=(10y+30)+4(15)

Solution for (24y+6)=(10y+30)+4(15) equation:

Simplifying
(24y + 6) = (10y + 30) + 4(15)

Reorder the terms:
(6 + 24y) = (10y + 30) + 4(15)

Remove parenthesis around (6 + 24y)
6 + 24y = (10y + 30) + 4(15)

Reorder the terms:
6 + 24y = (30 + 10y) + 4(15)

Remove parenthesis around (30 + 10y)
6 + 24y = 30 + 10y + 4(15)

Multiply 4 * 15
6 + 24y = 30 + 10y + 60

Reorder the terms:
6 + 24y = 30 + 60 + 10y

Combine like terms: 30 + 60 = 90
6 + 24y = 90 + 10y

Solving
6 + 24y = 90 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
6 + 24y + -10y = 90 + 10y + -10y

Combine like terms: 24y + -10y = 14y
6 + 14y = 90 + 10y + -10y

Combine like terms: 10y + -10y = 0
6 + 14y = 90 + 0
6 + 14y = 90

Add '-6' to each side of the equation.
6 + -6 + 14y = 90 + -6

Combine like terms: 6 + -6 = 0
0 + 14y = 90 + -6
14y = 90 + -6

Combine like terms: 90 + -6 = 84
14y = 84

Divide each side by '14'.
y = 6

Simplifying
y = 6