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

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

Simplifying
-3(2 + -3y) = 2(1 + 5y)
(2 * -3 + -3y * -3) = 2(1 + 5y)
(-6 + 9y) = 2(1 + 5y)
-6 + 9y = (1 * 2 + 5y * 2)
-6 + 9y = (2 + 10y)

Solving
-6 + 9y = 2 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-6 + 9y + -10y = 2 + 10y + -10y

Combine like terms: 9y + -10y = -1y
-6 + -1y = 2 + 10y + -10y

Combine like terms: 10y + -10y = 0
-6 + -1y = 2 + 0
-6 + -1y = 2

Add '6' to each side of the equation.
-6 + 6 + -1y = 2 + 6

Combine like terms: -6 + 6 = 0
0 + -1y = 2 + 6
-1y = 2 + 6

Combine like terms: 2 + 6 = 8
-1y = 8

Divide each side by '-1'.
y = -8

Simplifying
y = -8