3(4y-5z+2)=

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

Simplifying
3(4y + -5z + 2) = 0

Reorder the terms:
3(2 + 4y + -5z) = 0
(2 * 3 + 4y * 3 + -5z * 3) = 0
(6 + 12y + -15z) = 0

Solving
6 + 12y + -15z = 0

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + 12y + -6 + -15z = 0 + -6

Reorder the terms:
6 + -6 + 12y + -15z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 12y + -15z = 0 + -6
12y + -15z = 0 + -6

Combine like terms: 0 + -6 = -6
12y + -15z = -6

Add '15z' to each side of the equation.
12y + -15z + 15z = -6 + 15z

Combine like terms: -15z + 15z = 0
12y + 0 = -6 + 15z
12y = -6 + 15z

Divide each side by '12'.
y = -0.5 + 1.25z

Simplifying
y = -0.5 + 1.25z