2(8y-9)+5(6+y)=75

Solution for 2(8y-9)+5(6+y)=75 equation:

Simplifying
2(8y + -9) + 5(6 + y) = 75

Reorder the terms:
2(-9 + 8y) + 5(6 + y) = 75
(-9 * 2 + 8y * 2) + 5(6 + y) = 75
(-18 + 16y) + 5(6 + y) = 75
-18 + 16y + (6 * 5 + y * 5) = 75
-18 + 16y + (30 + 5y) = 75

Reorder the terms:
-18 + 30 + 16y + 5y = 75

Combine like terms: -18 + 30 = 12
12 + 16y + 5y = 75

Combine like terms: 16y + 5y = 21y
12 + 21y = 75

Solving
12 + 21y = 75

Solving for variable 'y'.

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

Add '-12' to each side of the equation.
12 + -12 + 21y = 75 + -12

Combine like terms: 12 + -12 = 0
0 + 21y = 75 + -12
21y = 75 + -12

Combine like terms: 75 + -12 = 63
21y = 63

Divide each side by '21'.
y = 3

Simplifying
y = 3