2(-4y+3)=3(2x+6)

Solution for 2(-4y+3)=3(2x+6) equation:

Simplifying
2(-4y + 3) = 3(2x + 6)

Reorder the terms:
2(3 + -4y) = 3(2x + 6)
(3 * 2 + -4y * 2) = 3(2x + 6)
(6 + -8y) = 3(2x + 6)

Reorder the terms:
6 + -8y = 3(6 + 2x)
6 + -8y = (6 * 3 + 2x * 3)
6 + -8y = (18 + 6x)

Solving
6 + -8y = 18 + 6x

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 + -6 + -8y = 18 + -6 + 6x

Combine like terms: 6 + -6 = 0
0 + -8y = 18 + -6 + 6x
-8y = 18 + -6 + 6x

Combine like terms: 18 + -6 = 12
-8y = 12 + 6x

Divide each side by '-8'.
y = -1.5 + -0.75x

Simplifying
y = -1.5 + -0.75x