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 = -49
7y = -49

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

Simplifying
y = -7

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