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

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

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

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

Reorder the terms for easier multiplication:
-6 + 2y = -3 * 5y

Multiply -3 * 5
-6 + 2y = -15y

Solving
-6 + 2y = -15y

Solving for variable 'y'.

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

Add '15y' to each side of the equation.
-6 + 2y + 15y = -15y + 15y

Combine like terms: 2y + 15y = 17y
-6 + 17y = -15y + 15y

Combine like terms: -15y + 15y = 0
-6 + 17y = 0

Add '6' to each side of the equation.
-6 + 6 + 17y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 17y = 0 + 6
17y = 0 + 6

Combine like terms: 0 + 6 = 6
17y = 6

Divide each side by '17'.
y = 0.3529411765

Simplifying
y = 0.3529411765