3y-21=-4(y+7)

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Solution for 3y-21=-4(y+7) equation:


Simplifying
3y + -21 = -4(y + 7)

Reorder the terms:
-21 + 3y = -4(y + 7)

Reorder the terms:
-21 + 3y = -4(7 + y)
-21 + 3y = (7 * -4 + y * -4)
-21 + 3y = (-28 + -4y)

Solving
-21 + 3y = -28 + -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.
-21 + 3y + 4y = -28 + -4y + 4y

Combine like terms: 3y + 4y = 7y
-21 + 7y = -28 + -4y + 4y

Combine like terms: -4y + 4y = 0
-21 + 7y = -28 + 0
-21 + 7y = -28

Add '21' to each side of the equation.
-21 + 21 + 7y = -28 + 21

Combine like terms: -21 + 21 = 0
0 + 7y = -28 + 21
7y = -28 + 21

Combine like terms: -28 + 21 = -7
7y = -7

Divide each side by '7'.
y = -1

Simplifying
y = -1

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