6(6y+3)-12=5(2y+3)+15

Solution for 6(6y+3)-12=5(2y+3)+15 equation:

Simplifying
6(6y + 3) + -12 = 5(2y + 3) + 15

Reorder the terms:
6(3 + 6y) + -12 = 5(2y + 3) + 15
(3 * 6 + 6y * 6) + -12 = 5(2y + 3) + 15
(18 + 36y) + -12 = 5(2y + 3) + 15

Reorder the terms:
18 + -12 + 36y = 5(2y + 3) + 15

Combine like terms: 18 + -12 = 6
6 + 36y = 5(2y + 3) + 15

Reorder the terms:
6 + 36y = 5(3 + 2y) + 15
6 + 36y = (3 * 5 + 2y * 5) + 15
6 + 36y = (15 + 10y) + 15

Reorder the terms:
6 + 36y = 15 + 15 + 10y

Combine like terms: 15 + 15 = 30
6 + 36y = 30 + 10y

Solving
6 + 36y = 30 + 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 + 36y + -10y = 30 + 10y + -10y

Combine like terms: 36y + -10y = 26y
6 + 26y = 30 + 10y + -10y

Combine like terms: 10y + -10y = 0
6 + 26y = 30 + 0
6 + 26y = 30

Add '-6' to each side of the equation.
6 + -6 + 26y = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 26y = 30 + -6
26y = 30 + -6

Combine like terms: 30 + -6 = 24
26y = 24

Divide each side by '26'.
y = 0.9230769231

Simplifying
y = 0.9230769231