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 = -6
-6 + 4y + -15y = 5

Combine like terms: 4y + -15y = -11y
-6 + -11y = 5

Solving
-6 + -11y = 5

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + -11y = 5 + 6

Combine like terms: -6 + 6 = 0
0 + -11y = 5 + 6
-11y = 5 + 6

Combine like terms: 5 + 6 = 11
-11y = 11

Divide each side by '-11'.
y = -1

Simplifying
y = -1