3(y+1)=4y-21

Solution for 3(y+1)=4y-21 equation:

Simplifying
3(y + 1) = 4y + -21

Reorder the terms:
3(1 + y) = 4y + -21
(1 * 3 + y * 3) = 4y + -21
(3 + 3y) = 4y + -21

Reorder the terms:
3 + 3y = -21 + 4y

Solving
3 + 3y = -21 + 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.
3 + 3y + -4y = -21 + 4y + -4y

Combine like terms: 3y + -4y = -1y
3 + -1y = -21 + 4y + -4y

Combine like terms: 4y + -4y = 0
3 + -1y = -21 + 0
3 + -1y = -21

Add '-3' to each side of the equation.
3 + -3 + -1y = -21 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = -21 + -3
-1y = -21 + -3

Combine like terms: -21 + -3 = -24
-1y = -24

Divide each side by '-1'.
y = 24

Simplifying
y = 24