-5(3y-8)+2(2y+6)=3

Solution for -5(3y-8)+2(2y+6)=3 equation:

Simplifying
-5(3y + -8) + 2(2y + 6) = 3

Reorder the terms:
-5(-8 + 3y) + 2(2y + 6) = 3
(-8 * -5 + 3y * -5) + 2(2y + 6) = 3
(40 + -15y) + 2(2y + 6) = 3

Reorder the terms:
40 + -15y + 2(6 + 2y) = 3
40 + -15y + (6 * 2 + 2y * 2) = 3
40 + -15y + (12 + 4y) = 3

Reorder the terms:
40 + 12 + -15y + 4y = 3

Combine like terms: 40 + 12 = 52
52 + -15y + 4y = 3

Combine like terms: -15y + 4y = -11y
52 + -11y = 3

Solving
52 + -11y = 3

Solving for variable 'y'.

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

Add '-52' to each side of the equation.
52 + -52 + -11y = 3 + -52

Combine like terms: 52 + -52 = 0
0 + -11y = 3 + -52
-11y = 3 + -52

Combine like terms: 3 + -52 = -49
-11y = -49

Divide each side by '-11'.
y = 4.454545455

Simplifying
y = 4.454545455