2(2y+3)+3(5y+4)=5

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

Simplifying
2(2y + 3) + 3(5y + 4) = 5

Reorder the terms:
2(3 + 2y) + 3(5y + 4) = 5
(3 * 2 + 2y * 2) + 3(5y + 4) = 5
(6 + 4y) + 3(5y + 4) = 5

Reorder the terms:
6 + 4y + 3(4 + 5y) = 5
6 + 4y + (4 * 3 + 5y * 3) = 5
6 + 4y + (12 + 15y) = 5

Reorder the terms:
6 + 12 + 4y + 15y = 5

Combine like terms: 6 + 12 = 18
18 + 4y + 15y = 5

Combine like terms: 4y + 15y = 19y
18 + 19y = 5

Solving
18 + 19y = 5

Solving for variable 'y'.

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

Add '-18' to each side of the equation.
18 + -18 + 19y = 5 + -18

Combine like terms: 18 + -18 = 0
0 + 19y = 5 + -18
19y = 5 + -18

Combine like terms: 5 + -18 = -13
19y = -13

Divide each side by '19'.
y = -0.6842105263

Simplifying
y = -0.6842105263