15[y-3]=2[5y+10]

Solution for 15[y-3]=2[5y+10] equation:

Simplifying
15[y + -3] = 2[5y + 10]

Reorder the terms:
15[-3 + y] = 2[5y + 10]
[-3 * 15 + y * 15] = 2[5y + 10]
[-45 + 15y] = 2[5y + 10]

Reorder the terms:
-45 + 15y = 2[10 + 5y]
-45 + 15y = [10 * 2 + 5y * 2]
-45 + 15y = [20 + 10y]

Solving
-45 + 15y = 20 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-45 + 15y + -10y = 20 + 10y + -10y

Combine like terms: 15y + -10y = 5y
-45 + 5y = 20 + 10y + -10y

Combine like terms: 10y + -10y = 0
-45 + 5y = 20 + 0
-45 + 5y = 20

Add '45' to each side of the equation.
-45 + 45 + 5y = 20 + 45

Combine like terms: -45 + 45 = 0
0 + 5y = 20 + 45
5y = 20 + 45

Combine like terms: 20 + 45 = 65
5y = 65

Divide each side by '5'.
y = 13

Simplifying
y = 13