4(y+1)=6y-6

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

Simplifying
4(y + 1) = 6y + -6

Reorder the terms:
4(1 + y) = 6y + -6
(1 * 4 + y * 4) = 6y + -6
(4 + 4y) = 6y + -6

Reorder the terms:
4 + 4y = -6 + 6y

Solving
4 + 4y = -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.
4 + 4y + -6y = -6 + 6y + -6y

Combine like terms: 4y + -6y = -2y
4 + -2y = -6 + 6y + -6y

Combine like terms: 6y + -6y = 0
4 + -2y = -6 + 0
4 + -2y = -6

Add '-4' to each side of the equation.
4 + -4 + -2y = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -2y = -6 + -4
-2y = -6 + -4

Combine like terms: -6 + -4 = -10
-2y = -10

Divide each side by '-2'.
y = 5

Simplifying
y = 5