.6(15y+10)-3(4y+6)=0

Solution for .6(15y+10)-3(4y+6)=0 equation:

Simplifying
0.6(15y + 10) + -3(4y + 6) = 0

Reorder the terms:
0.6(10 + 15y) + -3(4y + 6) = 0
(10 * 0.6 + 15y * 0.6) + -3(4y + 6) = 0
(6 + 9y) + -3(4y + 6) = 0

Reorder the terms:
6 + 9y + -3(6 + 4y) = 0
6 + 9y + (6 * -3 + 4y * -3) = 0
6 + 9y + (-18 + -12y) = 0

Reorder the terms:
6 + -18 + 9y + -12y = 0

Combine like terms: 6 + -18 = -12
-12 + 9y + -12y = 0

Combine like terms: 9y + -12y = -3y
-12 + -3y = 0

Solving
-12 + -3y = 0

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 + -3y = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -3y = 0 + 12
-3y = 0 + 12

Combine like terms: 0 + 12 = 12
-3y = 12

Divide each side by '-3'.
y = -4

Simplifying
y = -4