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

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

Simplifying
5(3y) + -3(-2) + 4(3y) + -1(-2z) = 0

Remove parenthesis around (3y)
5 * 3y + -3(-2) + 4(3y) + -1(-2z) = 0

Multiply 5 * 3
15y + -3(-2) + 4(3y) + -1(-2z) = 0

Multiply -3 * -2
15y + 6 + 4(3y) + -1(-2z) = 0

Remove parenthesis around (3y)
15y + 6 + 4 * 3y + -1(-2z) = 0

Multiply 4 * 3
15y + 6 + 12y + -1(-2z) = 0

Remove parenthesis around (-2z)
15y + 6 + 12y + -1 * -2z = 0

Multiply -1 * -2
15y + 6 + 12y + 2z = 0

Reorder the terms:
6 + 15y + 12y + 2z = 0

Combine like terms: 15y + 12y = 27y
6 + 27y + 2z = 0

Solving
6 + 27y + 2z = 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 + 27y + -6 + 2z = 0 + -6

Reorder the terms:
6 + -6 + 27y + 2z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 27y + 2z = 0 + -6
27y + 2z = 0 + -6

Combine like terms: 0 + -6 = -6
27y + 2z = -6

Add '-2z' to each side of the equation.
27y + 2z + -2z = -6 + -2z

Combine like terms: 2z + -2z = 0
27y + 0 = -6 + -2z
27y = -6 + -2z

Divide each side by '27'.
y = -0.2222222222 + -0.07407407407z

Simplifying
y = -0.2222222222 + -0.07407407407z