21(y+2)=3(6y+7)

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Solution for 21(y+2)=3(6y+7) equation:


Simplifying
21(y + 2) = 3(6y + 7)

Reorder the terms:
21(2 + y) = 3(6y + 7)
(2 * 21 + y * 21) = 3(6y + 7)
(42 + 21y) = 3(6y + 7)

Reorder the terms:
42 + 21y = 3(7 + 6y)
42 + 21y = (7 * 3 + 6y * 3)
42 + 21y = (21 + 18y)

Solving
42 + 21y = 21 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
42 + 21y + -18y = 21 + 18y + -18y

Combine like terms: 21y + -18y = 3y
42 + 3y = 21 + 18y + -18y

Combine like terms: 18y + -18y = 0
42 + 3y = 21 + 0
42 + 3y = 21

Add '-42' to each side of the equation.
42 + -42 + 3y = 21 + -42

Combine like terms: 42 + -42 = 0
0 + 3y = 21 + -42
3y = 21 + -42

Combine like terms: 21 + -42 = -21
3y = -21

Divide each side by '3'.
y = -7

Simplifying
y = -7

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