3(5y+4)-6=2(3y+1)+25

Solution for 3(5y+4)-6=2(3y+1)+25 equation:

Simplifying
3(5y + 4) + -6 = 2(3y + 1) + 25

Reorder the terms:
3(4 + 5y) + -6 = 2(3y + 1) + 25
(4 * 3 + 5y * 3) + -6 = 2(3y + 1) + 25
(12 + 15y) + -6 = 2(3y + 1) + 25

Reorder the terms:
12 + -6 + 15y = 2(3y + 1) + 25

Combine like terms: 12 + -6 = 6
6 + 15y = 2(3y + 1) + 25

Reorder the terms:
6 + 15y = 2(1 + 3y) + 25
6 + 15y = (1 * 2 + 3y * 2) + 25
6 + 15y = (2 + 6y) + 25

Reorder the terms:
6 + 15y = 2 + 25 + 6y

Combine like terms: 2 + 25 = 27
6 + 15y = 27 + 6y

Solving
6 + 15y = 27 + 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.
6 + 15y + -6y = 27 + 6y + -6y

Combine like terms: 15y + -6y = 9y
6 + 9y = 27 + 6y + -6y

Combine like terms: 6y + -6y = 0
6 + 9y = 27 + 0
6 + 9y = 27

Add '-6' to each side of the equation.
6 + -6 + 9y = 27 + -6

Combine like terms: 6 + -6 = 0
0 + 9y = 27 + -6
9y = 27 + -6

Combine like terms: 27 + -6 = 21
9y = 21

Divide each side by '9'.
y = 2.333333333

Simplifying
y = 2.333333333