4(y+3)=y+21

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


Simplifying
4(y + 3) = y + 21

Reorder the terms:
4(3 + y) = y + 21
(3 * 4 + y * 4) = y + 21
(12 + 4y) = y + 21

Reorder the terms:
12 + 4y = 21 + y

Solving
12 + 4y = 21 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
12 + 4y + -1y = 21 + y + -1y

Combine like terms: 4y + -1y = 3y
12 + 3y = 21 + y + -1y

Combine like terms: y + -1y = 0
12 + 3y = 21 + 0
12 + 3y = 21

Add '-12' to each side of the equation.
12 + -12 + 3y = 21 + -12

Combine like terms: 12 + -12 = 0
0 + 3y = 21 + -12
3y = 21 + -12

Combine like terms: 21 + -12 = 9
3y = 9

Divide each side by '3'.
y = 3

Simplifying
y = 3

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