3(4y+1)+5y=10

Solution for 3(4y+1)+5y=10 equation:

Simplifying
3(4y + 1) + 5y = 10

Reorder the terms:
3(1 + 4y) + 5y = 10
(1 * 3 + 4y * 3) + 5y = 10
(3 + 12y) + 5y = 10

Combine like terms: 12y + 5y = 17y
3 + 17y = 10

Solving
3 + 17y = 10

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + 17y = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 17y = 10 + -3
17y = 10 + -3

Combine like terms: 10 + -3 = 7
17y = 7

Divide each side by '17'.
y = 0.4117647059

Simplifying
y = 0.4117647059