3(5y-2)+4(2y-1)=13

Solution for 3(5y-2)+4(2y-1)=13 equation:

Simplifying
3(5y + -2) + 4(2y + -1) = 13

Reorder the terms:
3(-2 + 5y) + 4(2y + -1) = 13
(-2 * 3 + 5y * 3) + 4(2y + -1) = 13
(-6 + 15y) + 4(2y + -1) = 13

Reorder the terms:
-6 + 15y + 4(-1 + 2y) = 13
-6 + 15y + (-1 * 4 + 2y * 4) = 13
-6 + 15y + (-4 + 8y) = 13

Reorder the terms:
-6 + -4 + 15y + 8y = 13

Combine like terms: -6 + -4 = -10
-10 + 15y + 8y = 13

Combine like terms: 15y + 8y = 23y
-10 + 23y = 13

Solving
-10 + 23y = 13

Solving for variable 'y'.

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

Add '10' to each side of the equation.
-10 + 10 + 23y = 13 + 10

Combine like terms: -10 + 10 = 0
0 + 23y = 13 + 10
23y = 13 + 10

Combine like terms: 13 + 10 = 23
23y = 23

Divide each side by '23'.
y = 1

Simplifying
y = 1