-7y-21=9(y+3)

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Solution for -7y-21=9(y+3) equation:


Simplifying
-7y + -21 = 9(y + 3)

Reorder the terms:
-21 + -7y = 9(y + 3)

Reorder the terms:
-21 + -7y = 9(3 + y)
-21 + -7y = (3 * 9 + y * 9)
-21 + -7y = (27 + 9y)

Solving
-21 + -7y = 27 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-21 + -7y + -9y = 27 + 9y + -9y

Combine like terms: -7y + -9y = -16y
-21 + -16y = 27 + 9y + -9y

Combine like terms: 9y + -9y = 0
-21 + -16y = 27 + 0
-21 + -16y = 27

Add '21' to each side of the equation.
-21 + 21 + -16y = 27 + 21

Combine like terms: -21 + 21 = 0
0 + -16y = 27 + 21
-16y = 27 + 21

Combine like terms: 27 + 21 = 48
-16y = 48

Divide each side by '-16'.
y = -3

Simplifying
y = -3

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