8y-3(4-2y)=6(y+1)

Solution for 8y-3(4-2y)=6(y+1) equation:

Simplifying
8y + -3(4 + -2y) = 6(y + 1)
8y + (4 * -3 + -2y * -3) = 6(y + 1)
8y + (-12 + 6y) = 6(y + 1)

Reorder the terms:
-12 + 8y + 6y = 6(y + 1)

Combine like terms: 8y + 6y = 14y
-12 + 14y = 6(y + 1)

Reorder the terms:
-12 + 14y = 6(1 + y)
-12 + 14y = (1 * 6 + y * 6)
-12 + 14y = (6 + 6y)

Solving
-12 + 14y = 6 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-12 + 14y + -6y = 6 + 6y + -6y

Combine like terms: 14y + -6y = 8y
-12 + 8y = 6 + 6y + -6y

Combine like terms: 6y + -6y = 0
-12 + 8y = 6 + 0
-12 + 8y = 6

Add '12' to each side of the equation.
-12 + 12 + 8y = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 8y = 6 + 12
8y = 6 + 12

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

Divide each side by '8'.
y = 2.25

Simplifying
y = 2.25