4(y+9)=2(y+21)

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Solution for 4(y+9)=2(y+21) equation: 


Simplifying
4(y + 9) = 2(y + 21)

Reorder the terms:
4(9 + y) = 2(y + 21)
(9 * 4 + y * 4) = 2(y + 21)
(36 + 4y) = 2(y + 21)

Reorder the terms:
36 + 4y = 2(21 + y)
36 + 4y = (21 * 2 + y * 2)
36 + 4y = (42 + 2y)

Solving
36 + 4y = 42 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
36 + 4y + -2y = 42 + 2y + -2y

Combine like terms: 4y + -2y = 2y
36 + 2y = 42 + 2y + -2y

Combine like terms: 2y + -2y = 0
36 + 2y = 42 + 0
36 + 2y = 42

Add '-36' to each side of the equation.
36 + -36 + 2y = 42 + -36

Combine like terms: 36 + -36 = 0
0 + 2y = 42 + -36
2y = 42 + -36

Combine like terms: 42 + -36 = 6
2y = 6

Divide each side by '2'.
y = 3

Simplifying
y = 3

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