3(8y+2)=10y+(1y+3)

Solution for 3(8y+2)=10y+(1y+3) equation:

Simplifying
3(8y + 2) = 10y + (1y + 3)

Reorder the terms:
3(2 + 8y) = 10y + (1y + 3)
(2 * 3 + 8y * 3) = 10y + (1y + 3)
(6 + 24y) = 10y + (1y + 3)

Reorder the terms:
6 + 24y = 10y + (3 + 1y)

Remove parenthesis around (3 + 1y)
6 + 24y = 10y + 3 + 1y

Reorder the terms:
6 + 24y = 3 + 10y + 1y

Combine like terms: 10y + 1y = 11y
6 + 24y = 3 + 11y

Solving
6 + 24y = 3 + 11y

Solving for variable 'y'.

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

Add '-11y' to each side of the equation.
6 + 24y + -11y = 3 + 11y + -11y

Combine like terms: 24y + -11y = 13y
6 + 13y = 3 + 11y + -11y

Combine like terms: 11y + -11y = 0
6 + 13y = 3 + 0
6 + 13y = 3

Add '-6' to each side of the equation.
6 + -6 + 13y = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 13y = 3 + -6
13y = 3 + -6

Combine like terms: 3 + -6 = -3
13y = -3

Divide each side by '13'.
y = -0.2307692308

Simplifying
y = -0.2307692308