6-5y=4(y-3)

Solution for 6-5y=4(y-3) equation:

Simplifying
6 + -5y = 4(y + -3)

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

Solving
6 + -5y = -12 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
6 + -5y + -4y = -12 + 4y + -4y

Combine like terms: -5y + -4y = -9y
6 + -9y = -12 + 4y + -4y

Combine like terms: 4y + -4y = 0
6 + -9y = -12 + 0
6 + -9y = -12

Add '-6' to each side of the equation.
6 + -6 + -9y = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -9y = -12 + -6
-9y = -12 + -6

Combine like terms: -12 + -6 = -18
-9y = -18

Divide each side by '-9'.
y = 2

Simplifying
y = 2