4(2y+1)-3(2y-5)=29

Solution for 4(2y+1)-3(2y-5)=29 equation:

Simplifying
4(2y + 1) + -3(2y + -5) = 29

Reorder the terms:
4(1 + 2y) + -3(2y + -5) = 29
(1 * 4 + 2y * 4) + -3(2y + -5) = 29
(4 + 8y) + -3(2y + -5) = 29

Reorder the terms:
4 + 8y + -3(-5 + 2y) = 29
4 + 8y + (-5 * -3 + 2y * -3) = 29
4 + 8y + (15 + -6y) = 29

Reorder the terms:
4 + 15 + 8y + -6y = 29

Combine like terms: 4 + 15 = 19
19 + 8y + -6y = 29

Combine like terms: 8y + -6y = 2y
19 + 2y = 29

Solving
19 + 2y = 29

Solving for variable 'y'.

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

Add '-19' to each side of the equation.
19 + -19 + 2y = 29 + -19

Combine like terms: 19 + -19 = 0
0 + 2y = 29 + -19
2y = 29 + -19

Combine like terms: 29 + -19 = 10
2y = 10

Divide each side by '2'.
y = 5

Simplifying
y = 5