6(2y-5)-3(5-3y)=10

Solution for 6(2y-5)-3(5-3y)=10 equation:

Simplifying
6(2y + -5) + -3(5 + -3y) = 10

Reorder the terms:
6(-5 + 2y) + -3(5 + -3y) = 10
(-5 * 6 + 2y * 6) + -3(5 + -3y) = 10
(-30 + 12y) + -3(5 + -3y) = 10
-30 + 12y + (5 * -3 + -3y * -3) = 10
-30 + 12y + (-15 + 9y) = 10

Reorder the terms:
-30 + -15 + 12y + 9y = 10

Combine like terms: -30 + -15 = -45
-45 + 12y + 9y = 10

Combine like terms: 12y + 9y = 21y
-45 + 21y = 10

Solving
-45 + 21y = 10

Solving for variable 'y'.

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

Add '45' to each side of the equation.
-45 + 45 + 21y = 10 + 45

Combine like terms: -45 + 45 = 0
0 + 21y = 10 + 45
21y = 10 + 45

Combine like terms: 10 + 45 = 55
21y = 55

Divide each side by '21'.
y = 2.619047619

Simplifying
y = 2.619047619