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

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

Simplifying
3(5y + -3) + -2(y + 6) = 0

Reorder the terms:
3(-3 + 5y) + -2(y + 6) = 0
(-3 * 3 + 5y * 3) + -2(y + 6) = 0
(-9 + 15y) + -2(y + 6) = 0

Reorder the terms:
-9 + 15y + -2(6 + y) = 0
-9 + 15y + (6 * -2 + y * -2) = 0
-9 + 15y + (-12 + -2y) = 0

Reorder the terms:
-9 + -12 + 15y + -2y = 0

Combine like terms: -9 + -12 = -21
-21 + 15y + -2y = 0

Combine like terms: 15y + -2y = 13y
-21 + 13y = 0

Solving
-21 + 13y = 0

Solving for variable 'y'.

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

Add '21' to each side of the equation.
-21 + 21 + 13y = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 13y = 0 + 21
13y = 0 + 21

Combine like terms: 0 + 21 = 21
13y = 21

Divide each side by '13'.
y = 1.615384615

Simplifying
y = 1.615384615