2(3y+1)-10=3(6y-3)-21

Solution for 2(3y+1)-10=3(6y-3)-21 equation:

Simplifying
2(3y + 1) + -10 = 3(6y + -3) + -21

Reorder the terms:
2(1 + 3y) + -10 = 3(6y + -3) + -21
(1 * 2 + 3y * 2) + -10 = 3(6y + -3) + -21
(2 + 6y) + -10 = 3(6y + -3) + -21

Reorder the terms:
2 + -10 + 6y = 3(6y + -3) + -21

Combine like terms: 2 + -10 = -8
-8 + 6y = 3(6y + -3) + -21

Reorder the terms:
-8 + 6y = 3(-3 + 6y) + -21
-8 + 6y = (-3 * 3 + 6y * 3) + -21
-8 + 6y = (-9 + 18y) + -21

Reorder the terms:
-8 + 6y = -9 + -21 + 18y

Combine like terms: -9 + -21 = -30
-8 + 6y = -30 + 18y

Solving
-8 + 6y = -30 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
-8 + 6y + -18y = -30 + 18y + -18y

Combine like terms: 6y + -18y = -12y
-8 + -12y = -30 + 18y + -18y

Combine like terms: 18y + -18y = 0
-8 + -12y = -30 + 0
-8 + -12y = -30

Add '8' to each side of the equation.
-8 + 8 + -12y = -30 + 8

Combine like terms: -8 + 8 = 0
0 + -12y = -30 + 8
-12y = -30 + 8

Combine like terms: -30 + 8 = -22
-12y = -22

Divide each side by '-12'.
y = 1.833333333

Simplifying
y = 1.833333333